Question

Find the least number to be added to 9300 to get a perfect square.

Answer 1

We use the steps of finding the square root till all the groups are exhausted.
The calculation shows that $9300>{96}^2$ and $9300={96}^2+84$. Hence we have to look for the next square, ${97}^2$. We observe ${97}^2=9409=9300+109$. Hence we have to add 109 to get the nest perfect square.