Question

find the least number of 4 digits which is a perfect square . Also,find its square root.

Answer 1

Answer :

We know least number of four digits = 1000
And
we get

30 $\times$ 30 = 900 ( That is not four digits number )

31 $\times$ 31 = 961 ( That is not four digits number )

And

32 $\times$ 32 = 1024 ( Four digit number )

So least four digit number that is a perfect square of a number ( here that is 32 ) is = 1024 ( Ans )

And

$\sqrt{1024}$ = $\sqrt{32\times 32}$ = 32 ( Ans )