The squares from 40 to 50 are very easy they follow a pattern: 40 × 40 = 1600 41×41=1681 42×42=1764 43×43=1849 44×44=1936 45×45=2025 46×46=2116 47×47=2209 48×48=2304 49×49=2401 50×50=2500 The first 2 digits are just no.s in increasing order and the last two digits are squares of no.s from 9 to 0 I noticed this while studying Thought it would help😅
Hi, I am putting a question here related to this topic. You guys can use the trick given in the video to solve this and put your answers in the comment section! I will let you know if your answers are correct or not!
You have do it in your mind ,she is explaining that why it seems slow but it is very fast if you master this trick rather then multiplying 97×97 which will take a lot of time
@@FastandEasyMaths *Ooh i didnt know 1 to 10 table perfectly so i was searching easy way...and i came across this.....thank you....now to use this trick...i need to perfect 1 to 100 table....😂😂😂😂😂😂😅🤣🤣🤣🤣*
What a technique!! Superb. Finally found a shortcut without any exception and having a general technique for all numbers. Keep making such videos. Amazing
Basically we are applying (a+b)^2=a^2+2ab+b^2 approach. Just like we have to make (42)^2 to (40+2)^2. The adding part has been made a bit simpler in this case. I can see how this approach had been discovered.
@@PrinceKumar-vm7tv probably higher than you thats why he speaks fax. If you ever gave a bit of your mind and tried finding the commanties between the squares of different number. Even a average 7th grader will find out in 3 minutes and figure out the formula. In simple words its nothing but (a+b)^2 but exaggeratrd
هذه طريقة معدلة (مشتقة) من المربع الكامل ( مربع الحد الاول + ضعف الاول في الثاني +مربع الحد الاخير ) ولكي يكون الناتج صح لا تقم بجمع الارقام بالطريقة العادية وانما اجمعها بترك مرتبة كما طريقة الضرب التقليدية . عمل جيد دمجتي المربع الكامل مع الضرب العادي . This is a modified method (derived) from the full square (the square of the first term + double the first in the second + square of the last term) In order for the result to be correct, do not add the numbers in the normal way, but collect them by leaving an order as the traditional multiplication method. Good job, you combined the full square with regular multiplication.Good work.
@@seekingsalamander590 bilkul sahi bole. Trick ko abhi karne mai utna hi time lag raha hai jitna normal way se nikalne mai lag raha hai to jab thodi practice ho jayegi to time kam hoga.
This method is also good but it will take same effort as calculating normally. You can compare if you dont believe. This method only reduces the chances of errors. Still nice work❤️
Your video is so useful for competitive exams in this competitve world, but it would reach all students will be more benefical Thanks a lot... Good job, All the best👍👍👍
Yes the formula or whatever she used there was binomial or a little complicated method of binomial theorem but (213)^2=(200+10+3)^2 for this you have to learn multinomial theorem therefore arithmetic is the best to do or use calculus
Also when doing multiplication the way you do it in grade school... 58 58 You're doing 5x5 at the left, 8x8 at the right, then you're doing 5x8 along the diagonals *twice*, so 5x8x2.
Well in my opinion, you are using first algebraic identity but your trick is simpler than it, as the identity is a²+2ab+b², here it is somewhat difficult to find 2ab but according to your trick, it is easily understandable. And we can find 3 to 4 digit number square. Thanks for the trick
You are god I tried it by myself (by your trick) it actually worked now it is more easy for my today's examination!!! Keep uploading more educational videos!!!
@@muzankibutsuji7377 well most american kids dont understand what the are taught in schools and before their exams its these indian youtube channels which save them from an F Pls note their syllabus is 1000x time simpler than indian🤣🤣🤣
Practice makes a man perfect. My father taught me this trick and now i can do this so fast with any 2 digit numbers. It's because I practiced . I did it without a paper (mentally )
Try using this formula, (a+b)² or (a-b)². Depending on the condition such as when need to get square of 96, we can write as(100-4)² or if we need to get square of 84 we can use (80+4)². Thank you
@@nityarajanand1568 Yes, I agree 👍👍. Actually this is a good way not only for class 8, but for every classes you need to do so as it's quite easier because you can change a whole number like 99,etc to 90+9 or 100-1(and many other whole numbers) making calculation a bit easier :)
I learnt this method when I was in class 6th. It is vedic math actually. Jagadguru Shankaracharya developed a lot of methods to operate mathematical operations. I hope they would still teach these methods in Saraswati Vidya Mandirs.....
Now that you have taught me so many new things i am just going to try them in my Math exam and see how my teacher reacts to it 😁 This just shows that squares and other powers are nothing but mutiplication Never think that math is complicated and boring If you remember the 4 operations you can remember everything Consider fractions. They are nothing but a little conplicated term of *division* that is learnt in 3rd grade. Same with roots. Exponents are also nothing but conplicated version of *multiplication* of a number by itself several times Now multiplication and division themselves are nothing but complicated term of *Addition and Subtraction* repeatedly Examples :- 3 × 3 = 3 + 3 + 3 = 9 9 ÷ 3 = 3 - 3 - 3 = 0 ( quotient is 3 and remainder 0 ) 3^2 = 3 × 3 = 9 Square root of 9 = 9 divides by a number less than itself so that if its multiplied by itself its 9. In this case its gonna be 3
If (a+b)² is applied then it should have been written as (40+2)² and then applying the formula... Which would be (40²+2.40.2+2²)....but she did something different
any two digit number can be written as 10a+b where a and b are first and second digit respectively. hence the square of that number is: (10a+b)² = (10a)² + 2(10a)(b) + (b)²
The squares from 40 to 50 are very easy they follow a pattern:
40 × 40 = 1600
41×41=1681
42×42=1764
43×43=1849
44×44=1936
45×45=2025
46×46=2116
47×47=2209
48×48=2304
49×49=2401
50×50=2500
The first 2 digits are just no.s in increasing order and the last two digits are squares of no.s from 9 to 0
I noticed this while studying
Thought it would help😅
Now that's a helpful trick
Thank you broo .🎉🎉
Yup..❤️💥thankyouu
Omg
Hi, I am putting a question here related to this topic. You guys can use the trick given in the video to solve this and put your answers in the comment section! I will let you know if your answers are correct or not!
The question is:
What is square of 83?
6889
6889
6889
6889
For you all to explain how this trick works, it is basically (a+b)^2
Yes, but it's more easier to do the number * the number.
@@Younes_J.03 exactly
Correct...thx
This is not (a+b) ²... According to that formula it would have been (40+2)² = (40² + 2.40.2 + 2²)...but she did something different
@@subhhstuffs7557 he meant to say that a is first digit and b is 2nd digit. No need to sum them, it is just a trick
I think multiplying the number with itself is easier and time saving😂
Exactly..
Bro.....😂😂😂
Lol that's what I thought too 😛
Same here😂
True
This will be in everybody's recommendation after 10 years.
Yup😂😂😂🤣🤣🤣
Armyyyy💜
@@minsugagenius5828 Min Suga Genius Jang Jang Man Bong Bong : D
Borahae 💜
Yup..
It became in my recommendation in 3 years
I thought this method when I am learning Vedic Maths..And Now She is Remembering All The Memories..Of All Past,Present And Future..Thank You Di!😊
My pleasure 😊
69TH LIKE
alan bhai
#alanwalkerfan
It is just (a+b)^2 expansion, but made more tricky
@@Wildridefilms wow I didn't notice that
I love how it is being recommended to us after 2 years
this turns 3 yr old today
Ikr
Hi ui
😂
@@jeevanbabu4144 🤣🤣
Her voice is so humble and sweet that she inspires me that how should I speak
Thank you 😊
🤣
True 😀
No no 🤣🤣🤣🤣
Can anyone tell me what is the process name
I disagree, this method is just as long as the normal multiplication.
You have do it in your mind ,she is explaining that why it seems slow but it is very fast if you master this trick rather then multiplying 97×97 which will take a lot of time
@@akshatghosh2073 yes you are absolutely right
No
@@akshatghosh2073 True that
@@akshatghosh2073 I think summing up 8100+12600+49 is also easier.
(90+7)**2
Superb mam Fabulous 👌, excellent outstanding teaching easiest method ever.
Thank you so much for the lovely appreciation ☺️
Mam it's just because of your hard work and dedication towards mathematics (to provide easiest way to solve a mathematical problem)
@@FastandEasyMaths *Ooh i didnt know 1 to 10 table perfectly so i was searching easy way...and i came across this.....thank you....now to use this trick...i need to perfect 1 to 100 table....😂😂😂😂😂😂😅🤣🤣🤣🤣*
@@FastandEasyMaths that is just foolish complicated trick
69 likes lol
She is teaching the difficulty thing in a single piece of paper is it real hands off to u mam
I thought verifying with your phone was the way to do it faster.
What a technique!! Superb. Finally found a shortcut without any exception and having a general technique for all numbers. Keep making such videos. Amazing
Thank you 😊
Iam watching this after 3 years
Basically we are applying (a+b)^2=a^2+2ab+b^2 approach. Just like we have to make (42)^2 to (40+2)^2. The adding part has been made a bit simpler in this case. I can see how this approach had been discovered.
This is only one example is simple for this trick = 42
It is astonishing, how effortlessly you've multiplied both the numbers without actually telling that you are multiplying them😅😅😅😅
Which class do you study?
@@PrinceKumar-vm7tv lol
@@PrinceKumar-vm7tv that roast 🔥 😂
@@PrinceKumar-vm7tv probably higher than you thats why he speaks fax. If you ever gave a bit of your mind and tried finding the commanties between the squares of different number. Even a average 7th grader will find out in 3 minutes and figure out the formula. In simple words its nothing but (a+b)^2 but exaggeratrd
Huh!!! We can see the cuts easily
Thanks alot mam it saves a lot of time and chances of error are nil☺ bring more videos like this
Yeah!exactly me !!😅😅🤣
😌
No legends will se mam vesio
Vedio
@@editytgaming6161 it means you also don't belong to that category😄 that's why you are here
Thanks to youtube that it just recommended me, and I found this before 14 days to exam.. really nice trick💯
All the best and thank you 😊
@@FastandEasyMaths thanks for wish
Works on any number ,and of any digit..so helpful ,fast, correct ...thank u so much
My pleasure 😊
It's not work on 41
@@beaartlover3282 acche se chek karo
Sorry it's my fault it's working on41
But you can also easily find square of any number by multiplying by itself instead of this this take so much time in my opinion
Wow, RUclips is recommending me this after 2 years ...
Useful
Thanks 😁
My pleasure 😊
I don't know anybody mentioned it or not but your voice is so awesome. I loved it ☺️
Thank you 😊
THIS IS ACTUALLY A PROCESS BY a+b whole square 😁😁 very nice mam/sis
RUclips let's recommend all legendary after years
Literally all legendary videos are always recommended after years🤚😭
How’s it legendary? It takes more time than normal multiplication
Now I understand why indian teachers are smart in teaching you really made my work easier
Thank you so much mam ☺
Tq so much mam.I also made 4 and 5 digit numbers. That too is coming right
My pleasure 😊
Maths Trick for all competitive exam
ruclips.net/user/shortsLxPhBrJb3Tc?feature=share
Waste of time I have even better tricks
Thank you mam
@@sujit8023 waste of time sujit
Your voice is so amazing... I can listen this all day..
هذه طريقة معدلة (مشتقة) من المربع الكامل ( مربع الحد الاول + ضعف الاول في الثاني +مربع الحد الاخير ) ولكي يكون الناتج صح لا تقم بجمع الارقام بالطريقة العادية وانما اجمعها بترك مرتبة كما طريقة الضرب التقليدية . عمل جيد دمجتي المربع الكامل مع الضرب العادي .
This is a modified method (derived) from the full square (the square of the first term + double the first in the second + square of the last term) In order for the result to be correct, do not add the numbers in the normal way, but collect them by leaving an order as the traditional multiplication method. Good job, you combined the full square with regular multiplication.Good work.
Believe me.... Just multiply the numbers instead of this Headache Rule.
You will get the result more easily.!!!
i want my head to ache cuz i dont want to be like u 😎😎
@@sanchithnarasimha541
Really yaar
@@sanchithnarasimha541
Oh Dear.!!
Actually the truth is you can't be like me if you want to be though.!!
@@sanjibsamanta6236 BRO who will want to be like u are great u bought two punctuation marks in a single sentence.
Oh Dear.!! 🤑🤑🤯🤯😱😱👌👌👏👏👏🙌🙌
@@supriyahem8342 Meaning yaar ??????
Instead of multiplying so many number, addition etc. Directly multiply that number with it... But by the way good video
It's for in-mind calculations...u can't multiply a bigger number with itself in mind can you ? But with this trick u can if given enough practice
@@seekingsalamander590 bilkul sahi bole. Trick ko abhi karne mai utna hi time lag raha hai jitna normal way se nikalne mai lag raha hai to jab thodi practice ho jayegi to time kam hoga.
Amazing how algebra works. Even doing higher study we are not taught its uses properly.
This method is also good but it will take same effort as calculating normally. You can compare if you dont believe. This method only reduces the chances of errors. Still nice work❤️
Your video is so useful for competitive exams in this competitve world, but it would reach all students will be more benefical
Thanks a lot... Good job, All the best👍👍👍
My pleasure 😊 do share it with your friends 😊
Very useful tricks for all students with a great explanation .We will be grateful to you for this . Thanks 😊
My pleasure 😊
@@FastandEasyMaths what about calculations with 5, 6, 7 or more digits❓❓❗⁉️🤔🤔🤔🤔
Thats literally how i do it cuz i was lazy in calculating the 'school' way
It would be easy to multiply
@@thepokesaiyan7337 multiply by itself.
I don't know who you use this vid as a 'shortcut' when there's literally easier solution.
@@ceyx1201 Alright kid I was just keeping my opinion in a proper way.. And some people still get offended..
Just found a GD player, I guess
@@nmate217 yup
Thank you, you made my day as I was struggling to find an way to get quickly the square of a 3 digit number
My pleasure 😊
Thank you mam to make this video .It is very usefull to me mam. Now I can do this types of math very easily
Now I am doing this chapter in maths
It takes nearly same times as we find square by multiplying the numbers
Exactly
It seems to take same time because she is explaining along but actually it takes lesser time. With some practice you can note the difference
@@sarikajain29 yeah you are right but we can save atleast 10seconds by this method
@@arshadhusain6629 yes we can. And with continuous practice we can save even more😀
@@arshadhusain6629 Actually it's vedic maths. It has 16 formulae if we study all those accordingly we can make our calculations much easier.☺️
It is absolutely working!!!!!!!:)
I am so thankful for this method coz it's hard to find squares for 30 or above!!!!!!!!! I used this and it worked 💜
My pleasure 😊
The trick is basically (a+b)^2 = a^2 + 2ab + b^2
Yeah man! The ripped up version!
Yes the formula or whatever she used there was binomial or a little complicated method of binomial theorem but (213)^2=(200+10+3)^2 for this you have to learn multinomial theorem therefore arithmetic is the best to do or use calculus
Also when doing multiplication the way you do it in grade school...
58
58
You're doing 5x5 at the left, 8x8 at the right, then you're doing 5x8 along the diagonals *twice*, so 5x8x2.
no, it isn't!
Can you tell us what is then it is
Nice... Earlier days, I used the odd number logic for squares... Diff between continuous perfect squares will be series of odd numbers... old trick...
It's basically doing multiplication in other way rather than our own way 😂😅
I found many video on this different methods or different no, but your 1 video clear my concept
thank you so much Mam 😊❤
My pleasure 😊
My exams are just coming and this would so helpful tysm
My pleasure 😊 and all the best
I can't believe that now I can slove all these type of questions
Thank you very much ❤️❤️❤️
My pleasure 😊🥰
I used to get a different answer every time. Now you've made it easy for me.Thank you ma'am
@@FastandEasyMaths my also 😊
I would say
40² + 40+41+41+42 =1600+(41*4)
=1600+164=1764
Its based on (a+b)^2... ie... for 42 a is 4 b is 2 apply it in the formula u will get 1764
I love it how it is recommended to me when I'm done with school and college
I have watched around 6-7 videos but this method is the easiesttt... Thank you from the bottom of my heart❤
My pleasure 😊
Arey (a+b)² h 🙂
Once I have to use a pen... I think the classic method is easier. :)
This is column method na diiiii
@@ravisrivastava9935 yes bro 😀
Well in my opinion, you are using first algebraic identity but your trick is simpler than it, as the identity is a²+2ab+b², here it is somewhat difficult to find 2ab but according to your trick, it is easily understandable. And we can find 3 to 4 digit number square. Thanks for the trick
My pleasure 😊
@@FastandEasyMaths hellow ma'am is this working for all numbers
might as well, just factoring 82x82 ----- 80 x 80- add - 2 x 80 - 82 x 2 :: 6400+160+164
Thank god it came in recommendation👍🏻
Thanks for the awsm trick!!
My pleasure 😊
I just like this kind of videos. Still worth watching after 3 yrs of being uploaded
My father was a self studied mathematician and he taught me this method when I was a kid 🤣
He is now in a govt job 🙂
thank u so much . i am a mathematics teacher and it helped me so much
My pleasure 😊
Wait, you’re a mathematics teacher but you don’t know how to do this?
@@lilas7467 lol
Wow , this is useful and I did 1764^2 , it works!!!
I did 123456 too
Dear Mam Your Teaching Tricks Are Nice to get Answers
Thank you ☺️
Very nice mam good explanation tq very much now I can make it easy mam
My pleasure 😊
You are god I tried it by myself (by your trick) it actually worked now it is more easy for my today's examination!!! Keep uploading more educational videos!!!
Thank you 😊
@@FastandEasyMaths welcome!!
Maths is really interesting as well as boring as well because we get right answers some times and wrong sometimes 😂😂😛
Special thanks madam 🙏 I'm very dull in mathematics ur explanation makes me to solve more problems in mathematics. 🙏❤️
I think the trick that you shared is really helpful..thanks
Too good, I just loved the way, so easy n straight. I just thought the same to my 10 year old, thanks so much.
My pleasure 😊
Tell me how can I gratitude towards you you helped me so much !
To all those american kiddos remember
U get A coz they exist
Cool 😃
Means?
@@muzankibutsuji7377 well most american kids dont understand what the are taught in schools and before their exams its these indian youtube channels which save them from an F
Pls note their syllabus is 1000x time simpler than indian🤣🤣🤣
@@abirpaul494 LoL...I am also Indian....he protrayed the joke in a hard way for me to understand😂🤣
@@muzankibutsuji7377 lol demon slayer
MiCHaeL JAcksOn gooo brrrrrrrrrrrrrrrrrrr🤣🤣🤣😅
Finally I am in middle school grade 6 and learning these I needed a east trick
YOU LITERALLY CHANGED MY LIFE
Thank you... Miss its very usefull to me
My pleasure 😊
That's bit innovative way!
But I feel multiplying the number by itself is easier than this.
Exactly.. Its a tym wastr
I agree
Just practice it for a day
You will require less than 5 seconds
Even I feel the same
I think direct multiplying is much more easy than your technique.
I agree.
Practice makes a man perfect. My father taught me this trick and now i can do this so fast with any 2 digit numbers. It's because I practiced . I did it without a paper (mentally )
After 3 years you helped me
Thank you ☺️
Simple and easy. Thanks for sharing.
My pleasure 😊
Try using this formula, (a+b)² or (a-b)². Depending on the condition such as when need to get square of 96, we can write as(100-4)² or if we need to get square of 84 we can use (80+4)².
Thank you
Yes thank u this too is a good method
@@bavadharnis7323 You're Welcome 😀
Arey ye trick har 8th class ke bacche ko pata hogi
@@nityarajanand1568 Yes, I agree 👍👍. Actually this is a good way not only for class 8, but for every classes you need to do so as it's quite easier because you can change a whole number like 99,etc to 90+9 or 100-1(and many other whole numbers) making calculation a bit easier :)
@@bavadharnis7323 what is great about it? it's the method we have been taught since class 7 or 8 I guess
Such a very important video... thank you so much for uploading this video..!
My pleasure 😊
It's too long process to do but within a few minutes of practice any one can calculate it in seconds. Thank you so much for making this video 😊
Oooooooooo 🤯🤯
How???
How u are thinking like this??🤯
Very easy ❤️thanks ❤️
It's based on an algebraic identity (a+b)^2= a^2 + 2ab+ b^2
Itne der m to into hi ho jaye gi
God language
Right
Isse Zyada jldi toh multiply karke square nikal jayegi
Nice and simple I wish when I was in school my teacher had taught me this method , she madeMath seem so difficult ,
Thank you 😊
I learnt this method when I was in class 6th. It is vedic math actually. Jagadguru Shankaracharya developed a lot of methods to operate mathematical operations. I hope they would still teach these methods in Saraswati Vidya Mandirs.....
You have been taught this method but you didn't knew how to use it
thanks of this much easy method . i really like this so muchhhhhhhh
My pleasure
1/2(42-8) = 17 and 8^2=64 . Bang square of 42 = 1764 . Vedic maths.
Similarly 102^2 = 10404
102+2 and 2^2 = 04 ,
No doubt this is a good technique. But basic multiplication is much more convenient.
Good teaching madam.
I appreciate you more.
Thank you 😊
Lovely all are amazing please post more like this....😍😍😍😍
Now that you have taught me so many new things i am just going to try them in my Math exam and see how my teacher reacts to it 😁
This just shows that squares and other powers are nothing but mutiplication
Never think that math is complicated and boring
If you remember the 4 operations you can remember everything
Consider fractions. They are nothing but a little conplicated term of *division* that is learnt in 3rd grade. Same with roots.
Exponents are also nothing but conplicated version of *multiplication* of a number by itself several times
Now multiplication and division themselves are nothing but complicated term of *Addition and Subtraction* repeatedly
Examples :-
3 × 3 = 3 + 3 + 3 = 9
9 ÷ 3 = 3 - 3 - 3 = 0 ( quotient is 3 and remainder 0 )
3^2 = 3 × 3 = 9
Square root of 9 = 9 divides by a number less than itself so that if its multiplied by itself its 9.
In this case its gonna be 3
Perfect
Maths Trick for all competitive exam
ruclips.net/user/shortsLxPhBrJb3Tc?feature=share
@@FastandEasyMaths Thanks Mam :)
Thank u mam for telling this method I did all my questions from this method
My pleasure 😊
This video recommend me after 4 years 😘
Its (a + b)^2 so no trick as such other than the identity we learnt in class 8th
If (a+b)² is applied then it should have been written as (40+2)² and then applying the formula... Which would be (40²+2.40.2+2²)....but she did something different
@@subhhstuffs7557 dayyumm...
@@subhhstuffs7557 really? Lol
Your voice is amazing ❤️
OK, so I'm not the only one who was thinking that.
@@GregoryAThrower yes
This makes it easier than the identity. Good to know both. Thanks🙏
My pleasure 😊
i did know the two digit trick but i was stuck in the three digit trick ... thanks... it is a lot clear now
My pleasure 😊
Thank u so much this was the easiest explaination of all time
My pleasure 😊
I want to know how to find the square of decimal numbers
Will make a video on the same soon
actually this is just a simplified form of vedic maths lol .. nothing so new,, but its great!
Actually True!
Useful 🥰🥰
Thank you 😊
any two digit number can be written as 10a+b where a and b are first and second digit respectively.
hence the square of that number is:
(10a+b)² = (10a)² + 2(10a)(b) + (b)²
Thanks di for teaching us shortcut method to find the square....but di shortcuts are not allowed in our school 😭😭😢😢
I learnt this when I was in 7th grade
Now I'm in IITM
Lol😂
Thank you for quick /easy/ reliable trick 🙏🙏🙏🙏❤️
My pleasure 😊
Thank you very much ma'am for your trick..😊😊 came here for 1st time and got obsessed ❤️❤️
My pleasure 😊
Maths Trick for all competitive exam 🤔
ruclips.net/user/shortsLxPhBrJb3Tc?feature=share
Thank you so much .. You have told the easiest method ... I have practice lots of , I understand ..... Thank you so so much
My pleasure 😊