Question

What least number must be added to 6072 to make it a perfect square

Answer 1

Since, $5929<6072<6084$
$\Rightarrow (77{)}^2<6072<{78}^2$
As $6084$ is much closer to $6072$ than $5929$.
So, we will subtract 6072 from 6084 to get the required number,
$\Rightarrow (6084–6072)=12$
Thus, when we add 12 to 6072, we get 6084,
which is a perfect square of 78.
Therefore the required number is 12.