Question

Find the smallest whole number by which $768$ should be multiplied, so as to get a perfect square number.

Answer 1

By prime factorisation of $768$, we get

$768=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3$

Here $2$ are in pair, but $3$ needs a pair to make $768$ a perfect square.

So, $768$ needs to be multiplied by $3$ to become a perfect square.