Square of any 2 digit number

Maths Tricks , short cut tricks for maths to make calculation easy and fast

Square of any 2 digit number Let me explain this trick by taking examples 67^2 = [6^2][7^2]+20*6*7 = 3649+840 = 4489 similarly 25^2 = [2^2][5^2]+20*2*5 = 425+200 = 625 Take one more example 97^2 = [9^2][7^2]+20*9*7 = 8149+1260 = 9409 Here [] is not an operation, it is only a separation between initial 2 and last 2 digits: Example.
Here an extra case arises
Consider the following examples for that
91^2 = [9^2][1^2]+20*9*1 = 8101+180 = 8281; Is this maths trick helpful? (4613) (1452) Post / Read comment (42)

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bhavaniphanisri (11 years ago)

see the 32^2 with this method 94+120=214 but it is wrong value.

Like? Yes (22) | No (26)

lakshmisindhuja (11 years ago)

it is correct for all
32^2=[3^2][2^2]+20*3*2
=0904+120
=1024

Like? Yes (32) | No (5)

vandana asha (11 years ago)

@BHAVANIPHANISRI you r calculating wrong, 32^2 will be solved as
32^2=[3^2][2^2]+20*3*2=904+120=1024

Like? Yes (8) | No (2)

jayabharathy (11 years ago)

this method will work ly if the unit digit is >=4

Like? Yes (4) | No (5)

Anand (11 years ago)

32^2------------->904+120=1024.....check out extra case...

Like? Yes (1) | No (3)

Harendra Singh (11 years ago)

@bhavaniphanisri its perfectly correct dude
32^2 = [09][04]+20*3*2 = 904 + 120 = 1024
hope you get it now :)

Like? Yes (4) | No (2)

Rohit Verma (11 years ago)

Not working for 72 as well...

Like? Yes (4) | No (6)

Nithi (11 years ago)

@ROHIT VERMA this method is working for 72 dude..
72^2=[7^2][2^2]+20*7*2
=4904+280
=5184

Like? Yes (7) | No

sajeena mubarak (11 years ago)

13^2=[1^2][3^2]+20*1*3
=[1][9]+60
=79
but the correct answer is 169

Like? Yes | No (12)

Nithi (11 years ago)

@ SANJEENA MUBARAK= 13^2=[1^2][3^2]+20*1*3
=[01][09]+60
=0109+60
=169
Hope u can understand...

Like? Yes (12) | No

jairaj (11 years ago)

97*97=100-3+100-3
97-3=94===>1
3*3=09===>2
from above two eq
we can get 94
09
-------
8409
-----

Like? Yes | No (7)

Ramkrishna Sahoo (11 years ago)

this is complicated method.

Like? Yes (2) | No (1)

swetha.Gunda (11 years ago)

this is very long process

Like? Yes | No (1)

purnachandra Sahoo (10 years ago)

how to work with 3 digit no

Like? Yes (2) | No

DEBARGHYA SARKAR (10 years ago)

IT IS A VERY EFFECTIVE RULE..............BUT IT CREATS SOME CONFUSION WITH THE NUMBERS 32,13 AS GUYS HAVE SHOWN.........SO HOW TO CLEAR IT??????????

Like? Yes | No

M.HARINI SHREE (10 years ago)

NOT WORKIN FOR 38....

Like? Yes | No (2)

GAYATHRI (10 years ago)

it doesn't work for 95

Like? Yes (1) | No (2)

Anirban (10 years ago)

95=(9*9)(5*5)+20*9*5=8125+900=9025

38=(3*3)(8*8)+20*3*8=964+480=1444

Like? Yes (1) | No (1)

DUSHYANT KUMAR SINGH (10 years ago)

check 13^2 with this method 19+60=79 but it is wrong value.

Like? Yes (1) | No (2)

MONIKA RATHORE (10 years ago)

this is not valid for 27^2=[2^2][7^2]+20*2*7=476. but 27^2 =796.

Like? Yes | No (8)

Rakhi Saxena (10 years ago)

when the square of unit digit is only single digit use the as explained below:-
ex. 23^2=[2^2][3^2]+20*2*3=[04][09]+20*2*3=0409+120=529
and if the square of unit digit is two digit number use the method as explained below:-
ex. 35^2=[3^2][5^2]+20*3*5=[9]

Like? Yes (2) | No (1)

daram kalyani (10 years ago)

• Consider number 121 to find square.
• Separate digits as 12 & 1.
• Now do Square of unit digit number i.e. 1’square=1, so our unit digit number is 1 now in this case.
• Then multiply both separated Digits which are earlier separated ie.12 & 1

Like? Yes (1) | No (2)

santhiya (10 years ago)

not possible for all num...because 13^2 is wrong value.why?

Like? Yes | No (3)

Prannoy (10 years ago)

madr chod 55 ka to nai aa rha h

Like? Yes (1) | No (1)

ankit kumar (10 years ago)

91=100-9
9^2=81
910 carry81=9181 ans

Like? Yes | No

Aditya (10 years ago)

55^2=[5^2][5^2]+20*5*5=2525+500=3025

Like? Yes | No

Vignesh (10 years ago)

this is not applicable for 73,63.........

Like? Yes | No (1)

Smruti Ranjan Sahoo (10 years ago)

Sir,can you tell me why 20 is multiplied?

Like? Yes | No

Deepali Chandak (10 years ago)

No,it is wrong for 23
23^2=[2^2][3^2]+20*2*3=49+120=169

Like? Yes | No (3)

Soumyadeep (10 years ago)

30^2=[3^2]+20*3*0=900

Like? Yes | No

Sourabh Prasad (10 years ago)

this trick works for all 2 digit no to find there squares.

1st understand the trick,

if no. is 63
[6^2][3^]=3609+2*6*3
=3609+360
=3969

Like? Yes | No

YARRAYYA BARRI (10 years ago)

Both Methods are working.....
97^2 = [9^2][7^2]+20*9*7
= [81][49]+1260
= 8149+1260 = 9409
anther method:
97^2 = 100-97 = 3
[97-3].....3^2 = 94...09 = 9409
ThanQ....

Like? Yes | No (1)

anka (10 years ago)

what is the value of..5^2

Like? Yes | No (1)

ajay chowdary (10 years ago)

let me explain the above is formula given using (a+b)^2 , i will explain it with an example 72
72^2=(70+2)(70+2)=(70^2+2^2)+2*70*2=4904+20*7*2=5184
compare it with given formulae
[7^2][2^2]+20*7*2=4904+280=5184

Like? Yes (1) | No

ajay chowdary (10 years ago)

it works for three digit numbers too example 169
169^2=[16^2][9^2]+20*16*9=25681+2880=28561

Like? Yes (1) | No (1)

PANKAJ SHARMA (10 years ago)

for many values this trick is not working. like 11^2,12^2 etc...

Like? Yes | No (5)

Pratyush (8 years ago)

the squre root of 2 digit number i.e 13 is not coming as expected by this trick..please explain

13^2=[1^2][3^2]+20*1*3=19+60=79 where as it should be 169

Like? Yes | No

NABA KISHORE PADHY (7 years ago)

it's based on (a+b)^2

Like? Yes | No

Atika (7 years ago)

can u tell me the square 99

Like? Yes | No

Manu (7 years ago)

meeku pani pata ledhaaa.anni thappu ansewrs eh unnay

Like? Yes (1) | No

prashant prasun (7 years ago)

how u solve the first part of examples,,

Like? Yes | No

Manoj Kumar (6 years ago)

Sir for this we have to take approximatel value sir

Like? Yes | No

Dimple

India

Punjab

Time: 00:01:33

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Square of any 2 digit number

Maths Tricks , short cut tricks for maths to make calculation easy and fast