Question

Find the least number which must be added to each of the following numbers so as to get a perfect square. $1825$

Answer 1

We can observe the possible square nearby given number are,

$$\begin{gathered} 1764<1825<1849 \\ {\left(42\right)}^2<1825<{\left(43\right)}^2 \end{gathered}$$

Here, $1849-1825=24$

If we add $24$ to $1825$, then the number becomes $1825+24=1849$ which is a perfect square of $43$.

Hence, the required least number is $24$ and become a perfect square of $43$.