Question

Find the least number of 4 digits which is a perfect square also find the square root of the number so obtained

Answer 1

The least 4-digit number is 1000.

Finding the square root of 1000 using division method.

We find that 24 must be added to 1000 to get a perfect square of 4-digit.

Therefore, Perfect square = 1000 + 24

= 1024

And its square root is :

$\sqrt{1024}=32$