Question

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained. $525$

Answer 1

Finding the nearest perfect squares of $525$.

Perfect squares around the given number is,

$$\begin{gathered} 484<525<529 \\ {\left(22\right)}^2<525<{\left(23\right)}^2 \end{gathered}$$

If we add $4$ to $525$, then the number becomes $525+4=529$.

It will be a perfect square of $23$.

Hence, the required least number to be added is $4$ and the number obtained is a perfect square of $23$.