Question

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. $3250$

Answer 1

Solve for the nearest perfect squares

Given number is $3250$

Few of the perfect squares around the given number can be seen as:

$$\begin{gathered} 3249<3250<3364 \\ {57}^2<3250<{58}^2 \end{gathered}$$

If we subtract $1$ from $3250$, then the number becomes $3250-1=3249$ which is a perfect square of $57$.

Hence, the required least number is $1$ and is a perfect square of $57$.