Square any three digit number in Mind

[@sundarrajan6633]

there is the mistake in the last value that is x=9 y=11 the answer should be 829921

[@laramie123]

Thanks Bagwan. Please apna asshirwaad banaye rakhe. :)

[@abhijitdeokule1986]

I was about to write but just saw your reply, amazing

[@rohithvallakati7830]

I too got the same doubt...😂

[@jamesmccabe7919]

Sundar Rajan I was confused because when I did it I got what you got

[@shivankaggarwal4605]

Sundar Rajan yes you are right

[@nkvaanimehrotra4191]

I think your method does not work for many numbers

[@tarunchoudhary4788]

Yes u r right

[@renishadama]

Yes not for 102 at least (the number I tried)

[@johndutdeng5737]

wish the founders of this technology of calculation to get more simple ways. thanks a lot, this way is helpful.

[@kiranm1416]

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

[@MuckerInMotion]

Holy crap that is the simplest math trick ever. & easy to remember. thx!

[@shoebmd428]

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 ".

[@laramie123]

Square any three digit number in Mind

[@laramie123]

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

[@souravkabiraj5060]

Garg University 777*777=????

[@ThaoNguyen-xf4le]

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

[@peterblyth7653]

.

[@kaustubh4909]

Garg University hey it doesn't work for every no. (ex. 329) u r just fooling everyone with this trick

[@Manam23]

sir last wale question MN it should be 829921..... not 899921 ...... but really thank you beautifully explained .. decent approach

[@yashyadavansi8027]

Watch this video kzbin.info/www/bejne/jWXLgn-jYppgo5o

[@AnilKumar-lt1zt]

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

[@KurdstanPlanetarium]

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 :)

[@itzmyseason26]

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.

[@realestateinvestmentsindia9268]

Correct Rahul. You are the one of few who understand this was done on purpose.

[@santoshchauhan5161]

Real Estate Investments Indiana oh i think you have a sense to judge a guy.....

[@abinashrehman5429]

Please give me a answer for power number of 177

[@nkvaanimehrotra4191]

then what is the square of 121 and what is the thick for this case

[@AnkitKumar-mj1yj]

Vaani Mehrotra you can apply same method as shown in video

[@xxsavaxx2671]

Ankit Kumar you cant

[@AnkitKumar-mj1yj]

xXSavaXx why

[@TrollProductionsMC]

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

[@nyamongullie6155]

bull shit

[@manaphylv100]

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

[@williamwheeler4344]

The answer to 911 squared = 829921 and not 899921 as shown in the video. Please rectify. Incidentally the working was spot on!

[@TabletalkwtoshToshTalks2U]

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?

[@laramie123]

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.

[@hafiz468]

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 ! :)

[@joppadoni]

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..

[@PratikTamgadge]

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.

[@raghavlaad9831]

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

[@laramie123]

Paint

[@prasanathkumar7304]

very useful in competitive exams. I myself feel happy.

[@alberteinstein6561]

What are you using It's like a Technology?

[@adi_7861]

I have no words to say for this awesome trick. Thanks a lot sir....😀😀😀😀

[@shalinimishra789]

Sir, how to solve linear equations quickly .. please make a video on that . when coefficient appears big it becomes very hectic ...

[@ericashepard5805]

I'm CONFUSED where do the numbers come in at are you multiplying or adding or dividing or all thee above

[@murugeshr8545]

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)

[@vivekkrs1]

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!

[@vivekkrs1]

How can we square 94, 89, 56, so quickly?? So it means I gotta apply an another trick to square those 2 digits nos.!

[@laramie123]

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.

[@S.p.o.r.t.s.m.a.n.i.a]

how are we supposed to find a square of numbers containing larger tens digits like 198.are we supposed to remember squares until 💯?

[@Jabba_the_Kench]

Is that not the square rules that you showed? (100x+y)^2

[@N_K_Gupta_Vlog]

Not perfect

[@GG-qc5vp]

This is a common algebraic identity (x+y) ^2 = (x^2) + 2(x × y) + (y^2)

[@dalikharsel3726]

Garg sir,, what will be the sqare of 524 in your formula

[@itiworld1222]

can u give a complete tutorial on all shortcut method for solvingmathematic aptitude in one video or more than

[@laramie123]

Please check my channel. I have all tricks in one video

[@feacefullyyy]

how to apply ur method for the number 292 ?

[@madys]

Lakshmi Chandra do (300-8)^2=90000-4800+64=85264☺☺

[@feacefullyyy]

Thanks a lot :) :D yaarr ..!!

[@sunilarora7733]

sir which software used to write

[@prashantk1371]

next video is how to pee in 3 seconds

[@zeshn100]

For any numbrs we hve to multiply wth 2?

[@laramie123]

***** Yes

[@ayaanahmad283]

zeshh khan h

[@bappamukherjee4733]

Thanks @ Kaustubh Kumre.

[@surajgaikwad1456]

thank you sir, your explanation was lucid and fluent

[@kirtipatil6989]

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?

[@PrabhaharanMS]

Nice method. Beautiful application of (a+b)^2= a^2 + 2*a*b + b^2.

[@MattiK2609]

damn, now I understand how the Mathemagician Arthur Benjamin does those monstrous five-digit number multiplications in his grand finales of his shows! :O

[@laramie123]

+Matthias Köhler (MattK269) He is Awesome!

[@pubgzombie5029]

+Matthias Köhler (MattK269) he doesnt use this believe me

[@kshrubb8676]

I've read about him. He uses a system where he replaces sets of numbers with different words and then later replaces the words with the numbers when he needs. So for example, he might replace 123456789 as this... 123 = cat 456 = dog 789 = can. He basically just does the math normally but instead of remembering the numbers he remembers sequences of letters and then does it the long way. This is a common memorization technique. It is similar to that of what is used to solve rubik's cubes blindfolded.

[@DoctoratePhD]

cool

[@dearshoberoi285]

Matthias Köhler this method is from vedic maths..check out the methods for subtraction multiplication and addition

[@anveshreddy9740]

Answer for the last example where u take x as 9 and y as 11, answer is829921

[@the_riverbank]

Still big numbers like 787 cant be squared easily as we will have to square 87 first which makes it still long!

[@BenMartinStudios]

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

[@priyanshujena990]

Very much good

[@anon6005]

How do we know on forehand whether we are dealing with an imperfect or perfect square?

[@newworld1144]

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

[@dhurvsharma1835]

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.

[@niteshkumarsingh711]

hi it's very simple please provide some extra shortcuts somebody already know this trics.

[@kalimuthu9969]

Sir , How to calculate 186^2 = ? and 142^2 = ?

[@hitanshusharma3035]

really helpful but pls try posting videos regarding number series and pattern

[@sreenupuriya1493]

superb and very help ful to us thanks sir ...for short form

[@saivenkateshkondeti2694]

there is a descrepancy at 5:47s please recheck ,, totalling mistake .

[@guptajirocks_0104]

Good video Where can I find your square root video

[@rohitkhajuria1131]

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.

[@avimoymondal5762]

YOu made mistake...9^2=81 11^2=121 (carry 1)2*9*11=198(carry 1) Now answer will be: 829921

[@ltlucas6381]

Wait, if you use this trick, won’t you get the same answer with (206^2) and (276^2)? 206: (2^2)__(6^2): 4__36 2*6*2=24 41236 276: (2^2)__(6^2) 4__36 2*6*2=24 41236 If someone can explain this to me, it would be much appreciated, thanks!

[@raunitranjan7944]

Why you using 2 in the last for mulipation we can take na 4*9*4

[@sreenisrinivas3353]

i will clear all your doubts with simple porcess for squares from 1 to 1000

[@edmojoaosianhalo622]

Hi, what about the square root of 125? Cant be done with this method.

[@laramie123]

edmo sianhalo Do you mean Square? 25x25=625 (6 carry over), 1x25x2=50 (+6 carry over), 1x1=1, Answer is 15625

[@purnakumartfi]

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

[@VenkatReddyMula153]

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 ...

[@kamalnarayan3728]

again try u got ans. definately

[@bharathkumar1528]

125 120*130=15600 ( 12*12=144+12=156 and 00 total 15600) 5^2=25 total= 15625.

[@karante6174]

this trick did not apply for 132. Can you tell me the range ???

[@ericlight1425]

312 squared, this technique doesn't work for that if im worng, please explain

[@laramie123]

Should work for all numbers. Let try 312 3x3=9 12x12=144 3x12x2 = 72 Answer = 972(1)44 =97344

[@PradeepTyagi-Saagar]

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 :)

[@Namashivaya96]

haiiiii sir how to find the value. of 456*456 short cut method pls

[@pragunverma12]

Aapne last 2digit small use liye h..jo easily calculate ho jate.. Agr last digit bde ho to use kaise calculate krenge??

[@laramie123]

+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.

[@myriamespitiaespitia9587]

you are a genius to explain maths, thanks

[@priyasehgalinfj]

752^2. the 2nd step of it involves 52*52=2704..what to write in the answer?704 or just 04?.

[@laramie123]

Always last two digits. 04 in this case.

[@shunmuga]

Very nice and easy to Understand Sir... Thanks

[@englishadvantage-freeengli5993]

excellent video

[@miniaturevillagesetup]

why is it not applicable for 141.could u let me know how to find square of 141

[@sound2725]

Check ur answer for x=9, y=11. You said 899921, but in ur method it should be 829921

[@caprabhatgupta]

I learnt this in 10 standard. This is part of ''Vadic Mathematics''

[@Mukeshkingzz]

Studied at cbse scl right

[@Surajgawande]

Awesome Tricks (y) Very helpful :D Thank You

[@surajsingh5867]

(a+b) ² rule is used only neglecting the lower terms for factor a😕

[@zawette]

what about 2 digit number ? is there a way other than the near 50 way

[@laramie123]

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.

[@zawette]

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 ?

[@laramie123]

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.

[@zawette]

Garg University oups sorry i didn't watch the rest of the video

[@nyanbrox5418]

great help thanks again

[@samanthareddy8477]

not 899921 correct answer is 829921 at last 10secs video

[@baskaranr3068]

u r right

[@ankanachakraborty9615]

samantha Reddy - He must have done by mistake. Better be thankful for wat he has taught.

[@akkito6926]

samantha Reddy f**k u

[@niamulhaque4129]

I love

[@ANKITANANGIABCL]

is der any trick for mental multiplicaton of no?

[@laramie123]

There are many on our channel. For example. kzbin.info/www/bejne/oH7HeXaXba6BiKM Check out our website. www.garguniversity.com/new/mind-math-methods-for-faster-calculations/

[@pankajpathania5698]

how will we know that the trick is different for 409 and 825?

[@dineshaddala2339]

If we consider X32 - X99 where X varies from 1 to 9. This won't be possible.

[@subhashriroy5917]

to find square for 996, how can someone remember 96^2 . that is difficult. If there is any trick for the same. pls help

[@timdesmet9870]

How do you do ex. 320 squared? It ends with a zero, but muliplying by zero makes zero

[@mohammadhamza4059]

You take a 20 square cos the middle no. Is non zero as seen in the video

[@murugeshr8545]

Guys 825sqaure = take last digit 5square is (25)then multiply 82 into the next digit 83 so 82*83=(6806) the answer is (680625)😉

[@mp5038]

By the time you want to do all the calculation and add them up, just simply get the darn square

[@prakharshukla2868]

Thanks.... Applicable for all numbers of 3 digit...

[@rahuljaiswal4224]

Thanks you sir this is really working and useful.

[@ashwinijadhav407]

thank you sir saving my more Tim

[@basantibhowmik7837]

Sir I salute you 🔥

[@harshiniborigi]

sir once explain for me 502 and 112

[@pakhisaxena5582]

thank you sir....that was very easy and useful method.... thanks a lot

[@abdulbanana7635]

why did u multiply it again by 2 sir?

[@sourabhvishwakarma9758]

how can we calculate 278 square by this method please explain sir

[@musicroom4226]

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

[@hemantbhardwaj1147]

Square the no 868 then 25 is easy to guess it will be 625 but in order to get square of 48 68 we have to use calculator

[@ashketch4808]

not all numbers can solve this trick? If not try this 685square what is the value?

[@rajivkumar-tf7cx]

wow cool

[@sajithbandara2473]

it can be solved.but it takes too much time.so you re right.we should try on another easier one

[@rajnikantsingh]

plz make another video for last one...

[@akashmadhavan711]

nice work bro. will follow you religiously. thanks.

[@waynefredericks8177]

Hello can you pls explain how you square 352

[@anaveragegamer650]

If we have to square 125 better is to take 12^2 and 5^2 and 12*5*2

[@snehay1722]

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

[@theclassicchannel9241]

Sir, I tried many times.. but can u please tell me how to take out.. 243^2.. by this method.. it's difficult

[@eeshoo17]

2x2=4 3x3=9 2x3x2=12 which is 41209

[@ketanpatil3046]

thank you for trick!! just a correction in last example 911X911= 829921

[@Praveenpahuja]

Starting numbers are good but carry over numbers are little complicated

[@radhakrishna8357]

thank you thank you soo much. with this i figured out how square any two digit number also.

[@pritishranjanraul2858]

By using ur first method can u calculate the square of 123....