Question

Find the greatest number with 3 digits which is a perfect square. also find the square root of number obtained​

Answer 1

We know that the largest 3 digit number is 999. So we will find out the square root of 999 by long division method and check whether it is a perfect square or not.

Here we can see that 999 is not a perfect square as it leaves 38 as remainder.

So if 38 will be added to 999 then it will become a 4 digit number. Therefore to find the largest 3 digit perfect square we will subtract 38 from 999.  

999 - 38 = 961.

Hence 961 is the largest 3 digit perfect square whose square root is 31.

Hope it helped !