To find 2 digit number like eg 98 STEP 1 do square of 9 that is = 81 STEP 2 and do square of 8 that is = 64 therfore this happens 8164 and now multiply that two digits 9×8 =72 and multiply by 2 again that is =144 Now 8164 +144 = 9604
where did you get the 2 when you said to multiply again by 2 was it from the ;square number or is the just a step in the process that i am always going to use if i use this method?
It is from the classic BASIC school math formula ( a + b )2 = a2 + 2ab + b2 that is a plus b square equals a square plus 2 x a x b plus b square Soooo SIMPLE ! :)
I have seen many video for square of three digits but no one was satisfying but this was really awesome. I understand every word and I myself tried many sums. It is like universal for me everytime
hey I am weak in maths that's by I don't understood what u do algebra at last in video. if you can help me in any way to improve mathematics then please do.
You can use a^2 = (a + b) * (a - b) + b^2 and pick b such that a+b or a-b is a multiple of 100, so b = 13: 787^2 = 774 * 800 + 13^2 = 619200 + 169 = 619369
I want to ask you that which is the application used by you in PC for Maths Input with pen. can you please tell me this will be very helpful for me because I need that application for my laptop. please tell me the name
You've done a right thing by giving a wrong answer for 911 square.. This bought up many viewers to make out the right answer USING YOUR METHOD. improves the understandability and Application Ability.
Hmm..... your trick is quite impressive for nos. in the form of ( x 0 y i.e., a no. containing 0 in b/w). But it becomes very tedious for the nos. like which contains a large no. in the last 2 digits eg. 894, 189, 156 etc!
Vivek Kumar Sinha Hi Vivek, Thanks for your comment. Yes, each method has its limitation. When you reach that limitation, you can get approximate answer. Approximation is good enough for multiple choice question in competition exam or daily calculations in grocery store. I do not calculate exact amount in grocery store as approximate number is enough for me. For example 894 x 894 = (900-6) x (900-6). A rough approximation will be 900 x 900 = 810,000 If we want to put more effort it is 810,000-10,800 ~ 800,000. Lets put more effort and it is 810,000-10,800 = 799200 Accurate answer 810,000-10,800 + 36 = 799236 You can calculate that in Mind if you practice.
Yes, check out series of math tricks discussed on my channel. For example, can easily square any number ending with 5. Can also square number close to 100.
there is a way i found today :) the square of any number ab is a²/2ab/b² for this example a =2 ; b= 10 210² = 2² / 2x2x10 / 10² =4/40/100 = 44100 however the thing is that i still don't understand it very well i mean , why did we take the 1 from 100 and added it to 40 and why we didn't take the 4 from 40 and added it to 4 ? any idea ?
zawette This is what I have in this video. We have two assigned digits for bxb, 2ab, and axa. Because bxb is 100, we have to take 1 from 100 and add it to 2ab. 2ab is 40 which is already a 2 digit number and therefore we do not have to take 4 and add it to axa that is 4.
In the last example of squaring 911 the answer will be 829921 as 81+1(from 198) will be 82..// please consider this..// and sorry to say its not the calculation fault..// It just happens..// The method is quite interesting and valuable..// thnxxx for the share..// keep up :)
The answer for the last example : x=9, y= 11 is wrong. The square of 911 is 829921. The person has wrongly written 899921. His approach is correct though.
Surely, a useful application of the square identity! With ample practice, one can have a grip on it. Just a little point - At the end, the answer to 911x911 was incorrectly written as 899921 while it should have been 829,921. Needless to say, the error must have been committed inadvertently by the presenter.
There are many on our channel. For example. ruclips.net/video/jMdHCa8INRA/видео.html Check out our website. www.garguniversity.com/new/mind-math-methods-for-faster-calculations/
356=100*3+56. so x=3 and y=56. sqr(x) is 9 followed by 2xy which is 336. 3 from 336 is carried over 9 and 36 is kept after 9. now sqr (56) that is 3136. 31 is carried over last digit (i.i.e. over 6) and sqr(y) is 36. the final result is 126736. hope it helps my friend
Since you have to use pen and paper for these anyway, you might as well use the proper 3-digit formula instead and be less mistake-prone: (a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
for 825 its very simple..multiply 25 its 625 and now find square of 8 I.e 64 and add half of 8 I.e 4 to 64 now its become 68 ...now answer is 680625...note if starting number is even place 0 after and if that is odd number place 5 ... for eg 725X725 ...25 SQUARE IS 625 NOW CALCULATE SQUARE OF 7 (49) AND ADD HALF OF 7 THAT IS 3.5 SO ADD ONLY 3 NOW ITS 52 ..NOW SQUARE OF 725 IS 525625....SAME METHID JUST FOR EVEN PLACE 0 AND FORR ODD PLACE 5
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I think your method does not work for many numbers
Yes u r right
Yes not for 102 at least (the number I tried)
there is the mistake in the last value that is
x=9
y=11
the answer should be 829921
Thanks Bagwan. Please apna asshirwaad banaye rakhe. :)
I was about to write but just saw your reply, amazing
I too got the same doubt...😂
Sundar Rajan I was confused because when I did it I got what you got
Sundar Rajan yes you are right
then what is the square of 121 and what is the thick for this case
Vaani Mehrotra you can apply same method as shown in video
Ankit Kumar you cant
xXSavaXx why
i did it and you can apply the same method, if the first number is only 1 digit you don't add the numbers up to the front
bull shit
sir last wale question MN it should be 829921..... not 899921 ...... but really thank you beautifully explained .. decent approach
Watch this video ruclips.net/video/W4hQLm-5-m8/видео.html
wish the founders of this technology of calculation to get more simple ways. thanks a lot, this way is helpful.
the important thing to know is for what kind of numbers the rule is changing. for e.g. the method changed for " 825 " from " 206 & 409 ".
Sir,
how to solve linear equations quickly ..
please make a video on that .
when coefficient appears big it becomes very hectic ...
To find 2 digit number like eg 98 STEP 1 do square of 9 that is = 81 STEP 2 and do square of 8 that is = 64 therfore this happens 8164 and now multiply that two digits 9×8 =72 and multiply by 2 again that is =144
Now 8164
+144
= 9604
The answer to 911 squared = 829921 and not 899921 as shown in the video. Please rectify. Incidentally the working was spot on!
where did you get the 2 when you said to multiply again by 2 was it from the ;square number or is the just a step in the process that i am always going to use if i use this method?
It is a step. Middle two digits of final answer = 2 x First digit of number to be squared x last two digits of number to be squared.
It is from the classic BASIC school math formula ( a + b )2 = a2 + 2ab + b2
that is a plus b square equals a square plus 2 x a x b plus b square
Soooo SIMPLE ! :)
Garg sir,, what will be the sqare of 524 in your formula
how are we supposed to find a square of numbers containing larger tens digits like 198.are we supposed to remember squares until 💯?
Is that not the square rules that you showed? (100x+y)^2
Not perfect
This is a common algebraic identity (x+y) ^2 = (x^2) + 2(x × y) + (y^2)
can u give a complete tutorial on all shortcut method for solvingmathematic aptitude in one video or more than
Please check my channel. I have all tricks in one video
How will we do if the number is 456 so for that we should know the square of 56 '......so do u have any tricks for that?
I have seen many video for square of three digits but no one was satisfying but this was really awesome. I understand every word and I myself tried many sums. It is like universal for me everytime
I'm CONFUSED where do the numbers come in at are you multiplying or adding or dividing or all thee above
Aapne last 2digit small use liye h..jo easily calculate ho jate.. Agr last digit bde ho to use kaise calculate krenge??
+Varsha Verma You may need to calculate the square of the last two digits. There are other methods that can be used to square two digit numbers.
how to apply ur method for the number 292 ?
Lakshmi Chandra do (300-8)^2=90000-4800+64=85264☺☺
Thanks a lot :) :D yaarr ..!!
For any numbrs we hve to multiply wth 2?
***** Yes
zeshh khan h
Holy crap that is the simplest math trick ever. & easy to remember. thx!
hey I am weak in maths that's by I don't understood what u do algebra at last in video. if you can help me in any way to improve mathematics then please do.
Still big numbers like 787 cant be squared easily as we will have to square 87 first which makes it still long!
You can use a^2 = (a + b) * (a - b) + b^2 and pick b such that a+b or a-b is a multiple of 100, so b = 13: 787^2 = 774 * 800 + 13^2 = 619200 + 169 = 619369
I want to ask you that which is the application used by you in PC for Maths Input with pen.
can you please tell me this will be very helpful for me because I need that application for my laptop.
please tell me the name
Paint
there is a descrepancy at 5:47s please recheck ,, totalling mistake .
How do we know on forehand whether we are dealing with an imperfect or perfect square?
What are you using It's like a Technology?
Square any three digit number in Mind
45 x 45 = 2025 (20 carryover)
2 x 45 x 2=270 (2 carryover)
3x3=9
9+2 (carryover) =11
70+20 (carryover) = 90
119025 = answer
Garg University 777*777=????
Sourav Kabiraj
77*77=5929( 59 carryover)
7*77*2=1078(10 carryover)
7*7=49
78+59=137( 1 carryover)
49+10+1=60
603729 is the answer
.
Garg University hey it doesn't work for every no. (ex. 329) u r just fooling everyone with this trick
You've done a right thing by giving a wrong answer for 911 square..
This bought up many viewers to make out the right answer
USING YOUR METHOD.
improves the understandability and Application Ability.
Correct Rahul. You are the one of few who understand this was done on purpose.
Real Estate Investments Indiana
oh i think you have a sense to judge a guy.....
Please give me a answer for power number of 177
Sir , How to calculate 186^2 = ? and 142^2 = ?
Hi, what about the square root of 125? Cant be done with this method.
edmo sianhalo Do you mean Square? 25x25=625 (6 carry over), 1x25x2=50 (+6 carry over), 1x1=1,
Answer is 15625
125^2
first take 12^2
next 5^2 in the first line.
next 12*5*2=120 in the second line leaving unit digit
144 25
12 0
----------
15625
any square root ends with 5 can salve very easily .. like 12*13 =156 .. just put 5*5=25 after the 156.. s0 answer is 15625 ...
again try u got ans. definately
125
120*130=15600 ( 12*12=144+12=156 and 00 total 15600)
5^2=25
total= 15625.
Good video
Where can I find your square root video
Why you using 2 in the last for mulipation we can take na 4*9*4
752^2.
the 2nd step of it involves 52*52=2704..what to write in the answer?704 or just 04?.
Always last two digits. 04 in this case.
Hmm..... your trick is quite impressive for nos. in the form of ( x 0 y i.e., a no. containing 0 in b/w). But it becomes very tedious for the nos. like which contains a large no. in the last 2 digits eg. 894, 189, 156 etc!
How can we square 94, 89, 56, so quickly?? So it means I gotta apply an another trick to square those 2 digits nos.!
Vivek Kumar Sinha Hi Vivek, Thanks for your comment. Yes, each method has its limitation.
When you reach that limitation, you can get approximate answer. Approximation is good enough for multiple choice question in competition exam or daily calculations in grocery store. I do not calculate exact amount in grocery store as approximate number is enough for me.
For example 894 x 894 = (900-6) x (900-6).
A rough approximation will be 900 x 900 = 810,000
If we want to put more effort it is 810,000-10,800 ~ 800,000.
Lets put more effort and it is 810,000-10,800 = 799200
Accurate answer 810,000-10,800 + 36 = 799236
You can calculate that in Mind if you practice.
what about 2 digit number ? is there a way other than the near 50 way
Yes, check out series of math tricks discussed on my channel. For example, can easily square any number ending with 5. Can also square number close to 100.
there is a way i found today :)
the square of any number ab is a²/2ab/b²
for this example a =2 ; b= 10
210² = 2² / 2x2x10 / 10²
=4/40/100 = 44100
however the thing is that i still don't understand it very well i mean , why did we take the 1 from 100 and added it to 40 and why we didn't take the 4 from 40 and added it to 4 ?
any idea ?
zawette This is what I have in this video. We have two assigned digits for bxb, 2ab, and axa. Because bxb is 100, we have to take 1 from 100 and add it to 2ab.
2ab is 40 which is already a 2 digit number and therefore we do not have to take 4 and add it to axa that is 4.
Garg University oups sorry i didn't watch the rest of the video
In the last example of squaring 911 the answer will be 829921 as 81+1(from 198) will be 82..//
please consider this..// and sorry to say its not the calculation fault..// It just happens..// The method is quite interesting and valuable..//
thnxxx for the share..// keep up :)
The answer for the last example : x=9, y= 11 is wrong. The square of 911 is 829921. The person has wrongly written 899921. His approach is correct though.
to find square for 996, how can someone remember 96^2 . that is difficult. If there is any trick for the same. pls help
haiiiii sir how to find the value. of 456*456 short cut method pls
hi it's very simple please provide some extra shortcuts somebody already know this trics.
or (xy)^2 = x^2+y^2 +2xy easy for 2 digits where 87^2= 80^2 + 7^2 +2(80x7)=6400+49+1120=7569, for 3 digits.. 105^2 = 100^2+ 5^2+2(100x5)= 10000+25+1000=11025..
sir which software used to write
How do you do ex. 320 squared? It ends with a zero, but muliplying by zero makes zero
You take a 20 square cos the middle no. Is non zero as seen in the video
how can we calculate 278 square
by this method
please explain sir
can you solve square root of 525 we try it but it is not getting
Surely, a useful application of the square identity! With ample practice, one can have a grip on it. Just a little point - At the end, the answer to 911x911 was incorrectly written as 899921 while it should have been 829,921. Needless to say, the error must have been committed inadvertently by the presenter.
YOu made mistake...9^2=81 11^2=121 (carry 1)2*9*11=198(carry 1)
Now answer will be: 829921
simply ending with 5 eg . 95square is 5sq is (25) and 9 into the next digit is 10 so 9*10 is (90) answer.(9025)
why is it not applicable for 141.could u let me know how to find square of 141
Sir, I tried many times.. but can u please tell me how to take out..
243^2.. by this method.. it's difficult
2x2=4 3x3=9 2x3x2=12 which is 41209
really helpful but pls try posting videos regarding number series and pattern
312 squared, this technique doesn't work for that if im worng, please explain
Should work for all numbers. Let try 312
3x3=9
12x12=144
3x12x2 = 72
Answer = 972(1)44
=97344
is der any trick for mental multiplicaton of no?
There are many on our channel. For example.
ruclips.net/video/jMdHCa8INRA/видео.html
Check out our website.
www.garguniversity.com/new/mind-math-methods-for-faster-calculations/
not all numbers can solve this trick? If not try this 685square what is the value?
wow cool
it can be solved.but it takes too much time.so you re right.we should try on another easier one
sir how can u find the squere of 356
356=100*3+56. so x=3 and y=56. sqr(x) is 9 followed by 2xy which is 336. 3 from 336 is carried over 9 and 36 is kept after 9. now sqr (56) that is 3136. 31 is carried over last digit (i.i.e. over 6) and sqr(y) is 36. the final result is 126736. hope it helps my friend
seema Yadav you are most brilliant student I had ever seen👍👍
thank u brian douglas sir
this trick did not apply for 132. Can you tell me the range ???
sir plz upload videos on reasoning, sir can u plz tell me on which website i can find problems to solve ,& sir upload some videos on fast calculation
sir last wala jo apne kiya 911 ka square usme to 1+81 =82 not 89 apne vaha 899921 bola par wo add kar ke 829921 hoga
how will we know that the trick is different for 409 and 825?
Sir how to solve (610 ) square
wat to do if the square of last 2 digits is a 4 digit number ? plz tell
First two digits of the four digits will be carry over.
Garg University can u multiply 1875*6889 in a faster way ?
Thanks @ Kaustubh Kumre.
sir 101 se 109 tk pris method se nhi aa rha hai
Absolutely useful method, it looks like solving binomial expansion of the 2nd power
(a + b)^2 = a^2 + 2ab + b^2
but great idea, thank you posting :)
Since you have to use pen and paper for these anyway, you might as well use the proper 3-digit formula instead and be less mistake-prone:
(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
why did u multiply it again by 2 sir?
Sir
If the square of 459,. My ans was 207281,, but it should be 210681... Its confusing me .how it is... And where i did wrong.. plz hlp
bro what is the square of 439
can please explain.... pls
Mannem Arjun Goud
439
4/39
4 square..... 39 square
16...312....1521
16+3....12+15....21
192721
Will this work for more than 3 digit numbers
Yes. Just need to do bit adjestment
Hello can you pls explain how you square 352
plz make another video for last one...
sir how to find square of 352 ??
sir once explain for me 502 and 112
What is the square of 298...please answer me..
Sir how to do Square of 348
for 111 what is the result??and how??
Saswata Mohapatra
see the comments as I gaven solutn to 111 square
How do you square 352 to the power of 2
Nice method. Beautiful application of (a+b)^2= a^2 + 2*a*b + b^2.
what is the square of 302 by this method
3 x 3 =09
3 x 2 x 2 = 12
2 x 2 = 04
Answer = 091204
thanks ....😺
to reply.....
why you had done 2×2=04
I think it should be only 4
for 825 its very simple..multiply 25 its 625 and now find square of 8 I.e 64 and add half of 8 I.e 4 to 64 now its become 68 ...now answer is 680625...note if starting number is even place 0 after and if that is odd number place 5 ...
for eg 725X725 ...25 SQUARE IS 625 NOW CALCULATE SQUARE OF 7 (49) AND ADD HALF OF 7 THAT IS 3.5 SO ADD ONLY 3 NOW ITS 52 ..NOW SQUARE OF 725 IS 525625....SAME METHID JUST FOR EVEN PLACE 0 AND FORR ODD PLACE 5
How do u find the square of 315 ??
+Pratham Sachdev use the method which we used for the no. 825
not working for 315 also some one try 301
I know this is late but you did something wrong it does work:
315
3^2 = 9
15^2 = 225
15*3*2 = 90
99225
sir can u tell the square of 111,222,etc
i cant solve square of 302 plz make videos on that example because this method not solving this
can u show me how to square 762?
762=700+62
700*700=490000
2*700*62=86800
62*62=(60*64)+4=3844
Adding up gives 580644
not 899921
correct answer is 829921 at last 10secs video
u r right
samantha Reddy - He must have done by mistake. Better be thankful for wat he has taught.
samantha Reddy f**k u
I love
How do u find the square of 586,745,679??
This trick work some digits not every one
very useful in competitive exams.
I myself feel happy.
excellent video
how at d end aftr 8 how 9 cm?
how to use this method for 321
please can u tell me how to calculate the square of 999?
(1000-1)^2=1000000-2000+1=998001
There is a mistake in the last value it is 829921 that is not 899921
Bhargava Raju exactly i also noticed it
could u check for 595 it disagrees
it is possible just concentrate on two and three digit number also
Can you do this through this method? (484)²
By using ur first method can u calculate the square of 123....
sir how to find the square of 210digit
How you will find the square of 864
Very nice and easy to Understand Sir... Thanks
Answer for the last example where u take x as 9 and y as 11, answer is829921
How to calculate the 825power 131and 2power101 make a video