### Short Trick | Finding a square of any two digit number

Finding the square of any two-digit number you must know the short trick of it in order to save time in any one-day competition exam. We find the square of any two-digit number using formula. Let’s understand.

Suppose we have to find (34)2
We assume a=3, b=4
Then you must learn here
(a | b)2 = a2 | 2ab | b2
(34)2 = 32 | 2 x 3 x 4 | 42
=9 | 24 | 16 {We can note only one digit after each | . The tens digit will be taken as a carry on its left side.}
=9+2 | 4+1 | 6 {We start from 16. In 16. we will note 6 and take 1 carry which will add with 4. in 24, 2 will be taken as a carry in 9 and it will become 11}
=9+2 | 4+1 | 6
=11 | 5 | 6 (Remove | )
=1156

Example: (47)2
(47)2 = 42 | 2 x 4 x 7 | 72
=16 | 56 | 49
= 16 + 5 | 6 + 4 | 9
= 21 | 10 | 9
= 21 + 1 | 0 | 9
= 2209

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