This saved me today. I went to the super market and bought lunch but the total came to √ (5 +2√6). Noooooo, as I only had √3 + √2 I slapped it down on the counter and said, "Go check RUclips that's the correct amount" :)
The key is that a+b needs to be positive, or else you need to have a+b-sqrt(ab); a classic example of getting mixed up by taking the wrong square root!
I was doing homework for my math course and I encountered these nested square roots and I had to simplify it the long way(solving quadratics and stuff). Thanks bprp!
Neat. I would have never thought of approaching these problems in this way, and I don't remember learning it in algebra, though I could have just forgotten. I tend to just approximate whenever i see a root these days, so that I don't need to reach for a calculator so often.
I remember learning nested square roots from you over 6 years ago Back then, when our highschool teacher gave us a nested square root for the first time, I was able to solve it quickly while everyone else had no idea what to do with it lol (I was far from being a top student, so it was quite a fun sight) Now I’m a grad student and nostalgia drives me back to your channel 😊
I have carefully observed how the amazing marker switch works, Your current pen us held in between your hand and index finger plus other matker and the offside marker is held with thumb facing left(or pretty much on the left) and the ON marker is on the right to hold it. to switch, flick up your thumb and flick down your index finger and adjust if needed.
you could just separate it into 2 * 3.5 and than turn 7√b into 2√(3.5²b) = 2√(12.25b) but as you can see, this creates either decimals or fractions, which makes the rest of the calculations cumbersome.
@@pritamdas5439 I wanna know if there's a faster and more efficient way like how he showed the synthetic division method vs long division method for polynomials
@@anassayed2077 It came from 9th century Arabic, from Persian mathematician Muhammad ibn Musa al-Khwarizmi, from whence we also get the word "algorithm."
While I agree, that it is a nice 'shortcut', it is essentially useless information and equivalent to me telling someone from Australia, that there is a shortcut in my backyard in Germany. Hardly ANYONE will ever be in a place to use it ONCE, let alone regularly.
@m.h.6470 and how does that relate to it being a nice shortcut? It was never argued that this was useful. I can read, i am just confused as to why you're making a point about something that was never implied. You seem to be complaining about non-existent things.
@@一_一一一一一一一一 A nice shortcut that is never used is pointless. That was the entire reason for my comment. 99.9% of viewers will NEVER be in a situation, where this shortcut is relevant or useful, so this shortcut and therefore the video is pointless.
sqrt(a+bi)=?
answer here: ruclips.net/video/CeVdh5LH908/видео.html
I would just do the algebra cause not always the solutions are nice integers
I would use √(A+√B)=√(A+√(A^2-B))/2+√(A-√(A^2-B))/2
This saved me today. I went to the super market and bought lunch but the total came to √ (5 +2√6). Noooooo, as I only had √3 + √2
I slapped it down on the counter and said, "Go check RUclips that's the correct amount" :)
You win the RUclips comments
you won my heart!
@@cdkw2 When is the wedding?
@@Blade.5786 whenever you want man
Note that a and b cannot be *both* negative. If a = b = - 1, √(a + b + 2√(ab)) = 0, but √a + √b = 2i. They are not equal.
well... the real part is equal 😉🤣
Thank you for pointing that out. I am going to trim that part of the video out to avoid confusion. Thanks.
The key is that a+b needs to be positive, or else you need to have a+b-sqrt(ab); a classic example of getting mixed up by taking the wrong square root!
thank you for all the hard work you put into your videos they have made me become so interested in maths !
I was doing homework for my math course and I encountered these nested square roots and I had to simplify it the long way(solving quadratics and stuff). Thanks bprp!
Neat. I would have never thought of approaching these problems in this way, and I don't remember learning it in algebra, though I could have just forgotten. I tend to just approximate whenever i see a root these days, so that I don't need to reach for a calculator so often.
I remember learning nested square roots from you over 6 years ago
Back then, when our highschool teacher gave us a nested square root for the first time, I was able to solve it quickly while everyone else had no idea what to do with it lol (I was far from being a top student, so it was quite a fun sight)
Now I’m a grad student and nostalgia drives me back to your channel 😊
I have carefully observed how the amazing marker switch works, Your current pen us held in between your hand and index finger plus other matker and the offside marker is held with thumb facing left(or pretty much on the left) and the ON marker is on the right to hold it. to switch, flick up your thumb and flick down your index finger and adjust if needed.
It's still very hard to do though.
it needs pratice.
How far does this go?
like really!?
why are you still here.
This was taught to us when i was in class 8th.I always use this.
I loved his t shirt saying algebra in Arabic 😅❤
I should get such a shirt just to troll the local nutjob racists
what if I had some number besides 2 (like 7? ). And how can I make that into 2?
you could just separate it into 2 * 3.5 and than turn 7√b into 2√(3.5²b) = 2√(12.25b)
but as you can see, this creates either decimals or fractions, which makes the rest of the calculations cumbersome.
I was working on a problem like this earlier today, would have been great to know about this video 😭
Thank you, I'm going to use them in the exam
4:27 can't u use substitution, so for example, b = 7 - a and input it to ab = 10 you get a² - 7a = 10 and just use quadratic formula
Does he own a marker company
Nice shirt ❤
Bro pls express tan÷(1-cot)+cot÷(1-tan) as 1+sec×cosec
Quite easy to guess
5+2=7 , 5*2 = 10
7+3 = 10 , 7*3 = 21
7+4 = 11, 7*4 = 28
I remember it from the word surds. I was taught that this is surds
can u make a tutorial for how to find the square root of any number no matter how big
Look up long division method for square root
@@pritamdas5439 I wanna know if there's a faster and more efficient way like how he showed the synthetic division method vs long division method for polynomials
Why does the shirt say algebra, but arabic?
Do u speak arabic or what, just curious?
Probably because the name Algebra originates from Arabic.
@garrettbates2639 Yeah, maybe. The "al" in algebra means "the" in arabic "ال".
Algebra meaning in Arabic الجبر which means fixing a thing after being broken or replacing it which is like finding the unknown value
@Ahmedjerjawi I'm arabic BTW but I don't understand جبر meaning fixing something
@@anassayed2077 It came from 9th century Arabic, from Persian mathematician Muhammad ibn Musa al-Khwarizmi, from whence we also get the word "algorithm."
While I agree, that it is a nice 'shortcut', it is essentially useless information and equivalent to me telling someone from Australia, that there is a shortcut in my backyard in Germany.
Hardly ANYONE will ever be in a place to use it ONCE, let alone regularly.
Your point?
@@一_一一一一一一一一 can't you read? My point is: "it [this video's content] is essentially useless information"
@m.h.6470 and how does that relate to it being a nice shortcut? It was never argued that this was useful. I can read, i am just confused as to why you're making a point about something that was never implied. You seem to be complaining about non-existent things.
@@一_一一一一一一一一 A nice shortcut that is never used is pointless. That was the entire reason for my comment. 99.9% of viewers will NEVER be in a situation, where this shortcut is relevant or useful, so this shortcut and therefore the video is pointless.