Suppose we have to find (34)^{2}

We assume a=3, b=4

Then you must learn here

(a | b)^{2} = a^{2} | 2ab | b^{2}

(34)^{2} = 3^{2} | 2 x 3 x 4 | 4^{2}

=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} = 4^{2} | 2 x 4 x 7 | 7^{2}

=16 | 56 | 49

= 16 + 5 | 6 + 4 | 9

= 21 | 10 | 9

= 21 + 1 | 0 | 9

= 2209

I hope, this article will help you a lot to understand the **Short Trick | Finding a square of any two digit number **. If you still have any doubts and problems with any topic of mathematics you can ask your problem in the Ask Question section. You will get a reply shortly.

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