How to calculate cube roots in your head
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- Опубликовано: 11 дек 2014
- Here's how you do cube roots in your head! Avoid looking like Education Secretary Nicky Morgan who was stumped when asked to do a cube root: • Video
Note: the starting number needs to be a perfect cube. So it's more of a magic trick: ask someone to cube a number and then you can deduce their original number quickly.
Check out my book "The Best Mental Math Tricks" (rated 4.7/5 stars on 4 reviews)
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Can you multiply 97 by 96 in your head? Or can you figure out the day of the week when you are given a date? This book is a collection of methods that will help you solve math problems in your head and make you look like a genius. "The Best Mental Math Tricks" (rated 4.7/5 stars on 4 reviews)
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H/T Mashable
mashable.com/2014/12/12/educat...
Arthur Benjamin is a Professor at Harvey Mudd College and well-known for feats of mental calculation. He explains the cube root algorithm in this pdf
www.math.hmc.edu/~benjamin/pa...
This trick is really old--here's a newspaper article from 1913 that explains the trick!
cdnc.ucr.edu/cgi-bin/cdnc?a=d&...
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Наука
10 million views! Thank you for making this one of the most watched math videos on RUclips!
No problem!
It was very interesting. Thank's you too !
You’re awesome my dude
Thank you
what's hilarious is i started being teached cube roots today and got this in my recommendations
Love how the thumbnail misleads you to think you can just take the first and last digit to get the answer
@Dawson Posekany LoL yes that’s why I clicked the video
I almost skipped the video like just take the first and last digit but no it's not that at all
Me too
Really
Cube root of 8 is 88
Does it still work after the latest patch?
savage bro
You'll need to check the patch notes bro
@@thepungodThanks, I'll ckeck them.
Why did I laugh so hard at this 😭😭😭
Patch 2019.04 only did bug fixes, so maybe patch 2019.05 will change something.
Caution: this works only when you are asked to calculate cube roots of perfect cubes. Don't brag anywhere and fail if someone asks you cube root of 2198 and you say 12 (using this method)
Because I know that actually the cube root of 2197 is 13 so 2198 is 13.0...1
My method: literally memorizing the answer to every problem I’m asked. It comes in handy especially in Calculus
you scare me
You have a power beyond anything we mortals could ever imagine
Yeah lmao I remembered when I memorized that the cube root of 11 is 1331
@@Sartfla I think he meant the cube root of 1331 is 11. Just a small mistake
@TIV67 Playz I hate trolls like you😂😂😂
I hope this doesn't get nerfed
The heard the developers are going to nerf it, sadly.
Mine doesn't work, have I missed an update?
Rayan Rashid in the patch notes a buff is coming at the end of the month
Unfortunately, in version 20.2 (coming January) this trick will be patched, but hopefully there are some bugs in the system that let us still use it
“You first have to memorize the cubes of each number from 1 to 10”
nevermind
Mooddd😂😂
thumbnail, can't memorize ten numbers, finishes with NEVER mind. God bless this youth.
729 is the only weird one, really. The rest just make sense.
*forget it* 🤣
@@thedeekabides how 729 weird?
I'll give you two interesting things I learned on my own. If you add every odd number starting with 1, no matter where you stop, you will have a perfect square. Also, if you wonder if a number, no matter how large it is, is divisible by 4, 8 16, 32, etc. take the last 2 numbers and if they are divisible by 4, the entire number is divisible by 4; take the last 3 number and, if they are divisible by 8, the entire number is divisible by 8, etc. I'm sure I'm not the first person to figure these things out but I was surprised when I learned them.
Also if the last digits are 0, it will be divisible too, like 500 is divisible by 4 because last 2 digits are zeroes, 5000 is divisible by 8 because last 3 digits are zeroes.
You always learn something everyseconds no matter its important or not
its called divisibility criterion
@@user-yx4pb1zk2t I don't know about divisibility criterion. I just found it by accident one day. The square root thing I discovered when I was taking an online IQ test. It gave the following: "16, 25, 36 . . . What is the next number?" I looked and saw 16 + 9 = 25 and 25 + 11 = 36. My response was 49 which was correct but for the wrong reason. It didn't hit me that those numbers were perfect squares. I then followed the rule I came up with and found that it was correct.
that is pretty interesting
I remember doing this technique when taking a test back in highschool, way before I got into string physics and higher dimensions. I believe it was an exam actually, that consisted of 10 cube root equations to be solved via paper and pencil (show your work). I used this technique mentally, only writing down the table because I had to show work somehow. Couple of minutes I’m the first one done and my teacher is in awe. Feels good
sure
You have an exam of just doing cube root equations?
You do not just get into string physics
What did string theory have to do with this lmao
And then everybody clapped.
Next video how to calculate RUclips recommend algorithm
😂😂
😆😆
Impossible
Absolutely impossible!
Best
It’s sad how the secretary of education can’t remember the cube root of 125
Kinda infuriating as a student ;-;
she probably did know but was sticking to her rule of never answer math questions on tv. if she started answering easy questions, she’d eventually start being asked harder questions, and when she refused to do them, people would assume she didn’t know how even if she did.
5😥
@@sr.braydondo huh, I'll use this logic for my next exams!! Wish me luck
Jesus said "do not try to remove a spec from thy neighbor's eye when there is a log in your eye"
And these teachers out here like: ( 🌳 _ 🌳 )
I enjoyed your cube roots solving techniques. Great presentation.
I never knew it was so easy after seeing your resolve.
Thank you sir.
I used to actually know this trick, although i did it with square roots. I had no clue it could work with cube roots too, except it was slightly more complicated. You had to do a wierd subtraction thing from the first digit and i forgot exactly how to do it but this is way easier and more impressiveThanks!
My teacher thinks I am a genius. What she doesn't know is that I was actually using this trick
"She " Woah nice job
I can't explain how i got it though :'D
@@tot0N what
same here
xd
But its fake
"If she knew this trick she would have answered 5^3 very quickly"
Step 1- **Memorize the cubes of numbers from 1 to 10**
Well he's technically correct
😂😂😂😂😂😂
"Quickly"
i dont know if you should be in a high authoritative position if you can't figure out the cube root of 125 in a reasonable amount of time.
E_M_E_T Eh, dunno about that. You can be good at your job without knowing maths. This kind of knowledge doesn’t defines someone’s intelligence and ability to do their job well. It’s like knowing countries’ capitals; there isn’t really any merit in learning this kind of stuff by heart. Cant judge someone’s intelligence and abilities based on that.
I have never in my entire life liked an educational video before, but this was really helpful so thank you soooooooo much
Now all I need is another video letting me know how to tell that the number is a perfect cube in the first place so I know when to apply this.
But 125 is easy! 5x5=25 is not hard, and 25x4 is 100 so that helps you remember 25x5 is 125.
That's the only one I could have been able to get right because it is so easy.
@@ammaleslie509 all the smaller numbers are easy but that’s not what I was saying.
If you don’t know that 39304 for example, is a perfect cube then you can’t apply the trick.
@@creaty2852 That's what I was thinking about... Simply relying on this trick will get urself tricked and propose a seemingly correct answer. I suppose the most secure way is to use Taylor's Expansion
@@composerlmythomorphic2635 What's Taylor's expansion?
good
I'm finally happy that RUclips for ONCE has recommended me something useful👏🏽👏🏽
😂😂😂😂😂😂😂😂😅😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😅😅😅😂😅😂😂😅😂😂
Lmao
lol
ruclips.net/video/PkKAHroBTtA/видео.html
How to time travel
More like your happy you understood this XD😂🤣
Other Students:Whats tha need??We have calculators
*_Indian students:Give this man a Medal_*
That explains myself as an Indian. Thanks a lot.
I wonder they allow students to use calculator in exams 😲😲
Kash india me bhi aisa hota
@@anusangeet1869 in higher education you can use calculators for calculations since the problems are big. Lower grades don't need it coz problems are too simple and most probably you won't come across a cube root of 7 digit number there.
@@souravkb par hamare liye to woh problem bade hi hote hai bhaiya😁😁
😂
My coaching classes teacher taught me this trick but it just went over my head. Thanks for explaining properly.
If I'm being honest this is very useful because they didn't teach us this in pre-cal and it makes so many things so much easier especially if we aren't allowed to use our calculators.
I have a math degree, worked with numbers my entire career. I’ve never seen this before, it’s very interesting. I love math, in school I would make up my own problems and solve them.....for fun.
I’m helping my 10 year old grandson with his math homework and will show this to him. It may give him a leg up on his future classes.
These are quite common vedic tricks in Indian education specially among students preparing for competative exams as we need to be very fast in our calculations. You can look for other tricks too in youtube.
I never had math homework until middle school so fine
This does not in any way help solve any math problems. It is just a neat memorisation trick.
I like math and physics but I realized that I'm really bad at teaching math. Whenever I try to teach my little sister or my friends, they always have trouble understanding. But I am not that bad at teaching (explaining) physics' concepts/theories.
Wow, grandpa with a ton of knowledge of math. Respect sir, hope you doing well in your old ages teaching your grandson
I impressed my parents for the first time, yessssss.
Walking Meme L O L
Worldwide Handsome sub to me lol
@@Sopotastic No lol
@@vunniee ok lol that was 2 months ago lol
@@Sopotastic ok lol
This is going in my playlist.
Thank you so much! This trick is very much helpful ☺️
Remember: This only works if the number to be rooted is actually a cube of an integer. Thus, the title should better read "How to calculate the cube root of cubes of integers"!
I think the thumbnail is far worse than the title, don't you agree?
@@fahrenheit2101 Omg so true
integer and between 1 to 100
Yes. 🙄🙄🙄🙄🙄I am trying other number but I got wrong now I came to know 🙏
I figured that out the hard way
Congratulations! This channel is great!
This process is amazing.
Teachers that want you to show your work disliked this video.
This was in my math book itself.
Sebastion Stan Well lucky you
@@-cookiezila-461 we got this in our mid-semester (50 Marks) exams in July 2019. for 3 marks, we had to explain all the steps. I'm in 8th Grade.
That is my math teacher
Tell your teacher the trick then smart one
"Ask someone to pick a number 1 to 100"
My grandma: 1
Богдан Седин must be 11-100
Hahaha
Now is your chance to impress her by knowing the cube root whilst juggling oranges
Nice one
She doesn't want to bother you
that is awesome, now i have just to learn by hard and it is nice to recover that channel. it was recommended to me in summer 2020. I forgot the name of this channel but i found it again and it is awesome
Thank you for telling us this helpful trick
i liked the fact that you edited a hand in rather than actually writing even though it would be easier in every way.
what's the fun in that
Matthew Smith Actually, there is a website to do this. Its pretty lazy.
Anonymous Someone name?
Darwin Watterson There is many, but one that looks like this one is moovly.com
I used to use it back in middle school.
Darwin Watterson numberude- rootstorm
When the youtube algorithm is more worried about your future then yourself
I don't have a future
I knew this trick as it is Vedic Maths.
Well explained !!!
THANKS A LOT FOR THIS AWESOME TRICK🔥🔥
What is 1+1?
I refuse to answer any math questions on TV.
😂😂 Exactly
Is math related to science tho?
@@BloodHoundPL Science without math is like car without engine
@@reduanbadhon6346 lol maths is the father of sciences
@@lordx4641 do u even understand what I said?
I think even memorization is too hard for someone who doesnt know the cube root of 125.
@FlyingMonkies325 So in your next post detail the steps you would take to find the cube root of 10 to seven places. (-; Btw, if humans and animals couldnt memorize, they couldnt exist.
@@37rainmanyou are right People think they have to oppose an opinion even if it's correct. 🤦♂️
cube of 125 is 5
so easy
@FlyingMonkies325 you literally wrote an essay
Its 6
This is really fun and great idea! Iam sooooo trying it!
Thank you so much. I have a test coming up and this helps so much. It actually works :)
Only works for perfect cubes, obviously.
Chris Horne Ikr Yeah...
For sure. After the first example I immediately tried to find the cube root of the earth circumference of 24,896 using this method and it didn't work. I'm not impressed.
@@suffolk6311 this might get patched in the future though.
Also not for more than 6 digit numbers
+douglas: What he meant when he said that is that the ability to find the cube root of a perfect cube is obviously perfectly useless
One can just as easily teach oneself to find the cube root of ANY number, to ANY accuracy desired. What is the cube root of 23.692, rounded correctly to 4 digit accuracy? You can learn to arrive at the solution in a few minutes. 7 digits in perhaps 8 minutes. With pen and paper only.
And this came in my recommendation after 5 years!
For u only 5 yrs but for me 5 yrs 1 week😏😏
@@rohithreddy140 😂 you're funny
ROHITH REDDY for u only 5 years and 1 week but for me 5 years and 3 weeks
@@siuuuuu8973 lol,just u copied my thought
looking pretty fly Moli, ig - @_oli.wright_ x
Woah!!! nice trick, simple but easy to understand.
Thank you for this✨
RUclips algorithm:
2014: nope
2015: nah
2016: not a chance
2017: maybe
2018: sure
2019: WOULD U LIKE MATH??!!
@@apersonusingyoutube4973 says the guy still using the plus sign...?
@@apersonusingyoutube4973 oh no. i was enjoying your out of date you are
Ladies, you're both equally pretty or ugly. Pick one, I don't care, because OP isn't wrong. A whole god damn flood of math videoes were in my recommended tonight, when I haven't watched one in, at the least, a year. Now I'm stuck in a god damn rabbithole, coming to watch this video, only because I was curious about the trick to this and another video refused to share. I get here, find some guy posted a comment that was pretty relevant and I find two queens fighting. I just want to root cubes (aussie giggity intensifies). Can't we all just stop fighting, go home and root our cubes in peace... Together?
At least it isn't Wednesday though. Never do a rottin' on a Wednesday though. Otherwise the snake will get in grandma's pudding and then all that's left is to unthaw the gold and then repackage it in used Mr. Noodle packages that have juuuuust a little bit of uncooked potassium. You know?
@@apersonusingyoutube4973 Do you make these kinds of replies every time you see someone post something "unoriginal"?
Taena hhahahahahahaah
still, 125 is just absolutely elemental
+DashRogue yea its even a prerequisite for this technique :P
DashRogue I'm not gonna like this comment, since it has 125 likes.
DashRogue yea. It's like 2x3: you don't need to solve it in your head; you should already know it.
Who ever say that you have to be smart to run the US Dept. of Education
+Baba: Naïve. So what you are saying is that you are "smart" if you know that 5 cubed is 125? Btw, she was not there to be quizzed by little children about basic math. I would have simply said to the brat, tell me the cube root of 300, accurate to 6 places. I can do it, you cannot -- run along now, and take your parents with you.
Thank you so much for uploading a video of this...I learned so quickly and it helped me a lot...Now I can find cube roots within a few seconds...All credit goes to you...
I love your videos, they helped me much in the olympiad
Who are getting this in their recommendations after 5 years randomly lol
Help... Lol
I wanted this video and youtube can read my mind...
@@dianatotova6888 love is real
.
.
.
.
or is it?
Same here
6 it is
Ask someone to pick a number 1 to 100
Imagine they pick 636,056
Something aint right
lmao i didn't notice earlier
57x57x57= 185193 but 3 is the end of the number and it’s between 5 and 6 but it’s 57
@@Dafunny. When the last digit is 2,8, 3 or 7, you have to consider the 10's complement of the number i.e. 10 minus the number.
So it does correctly arrive at 57
I forgot to change my comment I forgot 7x7x7=343 so the end = 7 and the front = 57 so it is 57
The answer is 86x86x86 is 636 056
This is the type of thing that got me interested in math as a kid! I love it!
Your presentation is excellent - thanks for all your tips.
Did you ever look at the Trachtenberg system of math?
Q: So, when would this be useful?
A: When flexing on your homies
LOL FACTS
Okay now get off my recommended list
Abner Lowe lmao fr
Abner Lowe - 239 likes but only two replys. Come on guys all least say something.
Abner Lowe Hello
LMFAO same 😂
Abner Lowe mean
Thank you so much sir, it is just amazing to calculate any cube root instantly lots of best wishes to you.....
Thx for tutorial, good pace, you made me a subscriber...
Hiring manager: what is your edge among othe applicants
Me: I can mentally calculate cube roots of any perfect cube number
Grrrr!!! I need a head manager, somebody to manage my head while I am forgetful.
Only useful till 1-100 though
i dont think ANYONE realizes you said that with cynical laughter!
*upto 100
@@RandomGuy-vq3gd I found that it can be used to find 1-1000 it’s not 100% accurate but then u just have to use logic to get the middle part
From seeing the thumbnail, now I know that the cube root of 16 is 16.
Shadowww ricochet is shit
The Perfect Poop Just because you can't handle it, dosen't mean its bad in general. When it would be really that bad, then it would have gotten a buff in the recent balance changes but yea...
Shadowww its actually always the 3rd cube root
lol
rico is fine, its just really annoying to alot of players cus of high knockback and bouncing xD
I wish I knew this before. That makes finding cubed roots so much easier.
Not really. It only works for perfect cubes.
Thank you . I know its really hard to reveal a trick . But u did it 🙏🙏
RUclips: You hate math right?
Me: yeah.
RUclips: here.
Y tho :/
Dope nyan Cat
Undefined
@Dope nyan Cat ask Siri about it
Dope nyan Cat 5out of 0? = -5
@Dope nyan Cat i ask you friendly to remove this comment!
First time seeing that education channel hit 1.82 subscribers
Congratulations keep going
This came to my recommendation after six years and the day after my maths exam
Lol 😂😂
Thank you this is really very helpful 😊😊😊
Hey Presh Talwalkar, thank you so much for taking the time and effort to produce this excellent, easy to understand, video tutorial on how to quickly calculate the cube root of a number that is capable of such without fractions. Keep up the good work!
The cube root of a number that is not a perfect cube would be irrational. Infinite decimal places, not a fraction. But I'm just knit picking. I also enjoyed the tutorial.
This is vedic math trick
For people who say “never if I have to memorize 1-10(rules) I’m out” I can basically throw the statement back to you, how can you memorize a whole fu- 3 minutes long song and can’t memorize a 20 sec rule?
First Name tuff
Book Loon tuff to memorize a 20 sec thing?
I can already smell you
We just don’t want to memorize this?
And we’d rather learn a song that we happen to play over an over?
Like, I get where you’re coming from, but.
Can0Cringe #706 laziness. Got it.
Thank you for this tutorial it'll be useful someday
Thank you very much! It helped me a lot!!
This is a fantastic video. It is useful, practical, doable, learnable and impressive!
Omg that's sooo cool, but like it's easy to forget
Ayailyasfatima 3 that is why you have to remember
Jaden Tran yeah but after you stop practicing you’ll forget
Ayailyasfatima 3 nice said..
The cube root of 42,875 is 35, not 45.
Lol!!!
Really helpful , thank you so much
You made a good niche for yourself Presh with your math channel. I'm sure you're raking in the big bucks too.
WHY COULDN’T YOU EXIST WHEN I WAS DOING NS IN HIGH SCHOOL?!?!?!😭😭🤣🤣
Dont worry,in next life we will use that
Ey it is in ncert text book of class 10 th or 9 th - estimation method 😂😂
@TIV67 Playz I think you’re in the wrong comment section buddy
@@realrythmplayz He's on the wrong website
@@theweirdwolf1877 Yeah
Tried this the other day. Couldn’t get it to work. I think god patched it.
Only works for perfect cubes.
+Abrar. And thus is perfectly useless.
Copycat
DaDanMan Guy I’m not a copy cat I assumed it worked again in the recent update but clearly it’s been patched again that’s all I’m saying. I’m helping people not waste their time lol
ronald dump not at all, it’s still a cool trick. Try to be optimistic and not negative all the time
I have forgotten about this, thanks for reminding
Other Students: why should we care , we can use calculator
me an indian : thankyou master for this useful information
i am indian
Man teachers itself will teach the method.btw I am indian
@TIV67 Playz some people believe in Jesus, some don't, if you force them, they end up hating you and the religion.
@TIV67 Playz Ok but like what’s the cube root of 328509
@@xarmchia7750
39 obviously
I wanted this type of tricks.....11 years ago.....
I wish I can find this.
title should be "how to calculate cube roots of numbers you already know are perfect cubes in your head"
Wow! I never thought I'd enjoy watching math videos.
Fun fact, if you include decimals you need to memorize cube roots from 1 to 100.
Cube root of 125
I mean if you did math problems when you were in school the answer just comes to your mouth
You don't even have to calculate
I’m losing more and kore faith in humanity
I think 85
Naïve. She was not there to be quizzed about basic math by a child. That is why an adult would not give an answer to such a childish question, in such a setting.. If you don't realize that, you are likely a child.
ronald dump ok "Ronald dump" even if she wasn’t there to be quizzed, it certainly looks worse by not doing the problem then doing it and entertaining he child.
You can just say 5 is 5 and last three digits go away. The answer is 5.
I could EASILY do 125 not being cocky!
Everybody can
ikr
Thank u Presh I needed that
If you need to take a cuberoot of a not perfect cube, you can do a trick similar to your square root video.
This was using the approximate number plus the remainder/2. A small error as its actually the remainder minus the fraction squared that you should use. This follows from y=(x+c)^2 = x^2+2cx+c^2. ∆=y-x^2 and √y = x+c ~ x+∆/2.
The cube root y = (x+c)^3 = x^3 +3x^2*c+3xc^2 + c^3 = x^3+c^3 +3cx(x+c)
again ∆ = y - x^3 or ∆' = y - x^3 - c^3 = 3cx(x+c)
note x+c = y is between x and x+1, you can guess which is closer or is easer to use.
This gives:
y^(1/3) = x+c ~ x + ∆ / (3*xy)
example, with y = 300,000 you get x 60, ∆=(300,000-216,000) and c = 84k/3*60*70 ~ 7, so y ~ 67
this also works with a negative ∆. y ~ 70 - 43k/(3*70*70) ~ 67
alternatively, you can guestimate how y falls between x and x+1 with 300k between 216 and 343k (+84k and -43k), so roughly 2/3 between 60 and 70.
This really helped me... Thank you so much!
If I asked someone to pick a number from 1 to 100 and they picked 636,056 i'd be very annoyed.
Alex Park they're supposed to cube that number
no, thats the cubed number
Alex Park 86
Nice, the troll was successful. I now have enough upvotes to feed my family.
Alex Parkinson the guy in video asked to cube that digit (which your friend picks up)
Wow! I'm great with numbers and I love math, but I didn't even know this! A+ to you.
Wow, that's a really neat trick! I'm surprised I've never seen it before.
It only works if you know the number has been cubed though
Yes exactly. Although the more practical method is harder to understand and apply without a calculator
It can be useful to have un idea of the size of the cube, comparing the last two or three digits with the cubes of the numbers from one to ten.
@@musenw8834 really? Just do Prime Factorisation...
@@sebastianstan9655 I meant for bigger numbers. Preferably those above a billion or so.
@@musenw8834 calculators.
0:05 idk why but that made me laugh so hard 😂😂
Anushka Gupta what happened in 0:04? Could u be more specific?
@@juliuskang7937 "Why would you ever wanna do this?"
Thank you sir for this trick
Wow what a superb trick 🔥🔥🔥🤯
This pops up in my recommendations right when I needed it 😂
If you are over 12 years old, and you can't figure out the cube root of 125 in less than 10 seconds, you are really bad at math.
Ulises Weroleytor k
I suspect she didn't want to answer because if she did people would ask her increasingly more difficult math questions. That being said some people really are that bad. An ex boss of mine spent 5 minutes looking for a calculator to work out 5+8. Another asked what I was doing when I used long addition on a piece of paper, I actually had to explain the concept.
So how would you work out the answer? For those of us that are actually bad at math.
Grant H . 25 goes into 125 5 times, the square root of 25 is 5. 5x5x5 is 125. See?
Trevor Mccord Never understood how you'd work out 25 goes into 125 5 times without having memorised it, to me it's just trial and error until I figure it out, no real method.
Ty soooo much this helped me very well!!!
It's very easy and useful .thank you so much ☺️
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thanks for making this
Whenever I stand at the supermarket checkout, I wish to be able to work out the cube root of all the prices. Thank you for this great help in real life.
At the begaining when I learned the computer, every time I did something wrong, I hoped I could replay.