Question

Find the smallest number by which $2400$ is to be multiplied to get a perfect square and also find the square root of the resulting number.

Answer 1

R.E.F image

$\Rightarrow 2400=2\times 2\times 2\times 2\times 2\times 5\times 5\times 3$

Clearly, for a square no. to be

obtained, $2400$ should be multiplied

by $2\times 3$. So, that the resulting

number is square of $2\times 2\times 2\times 5\times 3$

$=8\times 3\times 5=120$