Question

Find the smallest number by which 2925 must be divided to obtain a perfect square. Also, find the square root of the perfect square so obtained.

Answer 1

Factorising 2925, we get:
$2925=\overline{3\times 3}\times \overline{5\times 5}\times 13$
To make it a perfect square it must be divided by 13.
$\therefore$ 2925+13=225
$\therefore$ Square root of $225=3\times 5=15$