Question

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

Answer 1

Answer: 1024

Step-by-step explanation:

Least 4 digit number = 1000

Perfect squares are those whose square roots are integers or whole numbers, not decimals.

So square root of 1000 = 31.622...

Since it is not a perfect square,

Let us find the square of 31(the number before the decimal point in the root of 1000)

So 31^2 = 961

Though being a perfect square, it is a 3 digit no.

So if we square 32, we will get 1024.

Yes it coincides with the given condition.

So the required number is 1024...