Question

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained.
$1620$

Answer 1

$\sqrt{1620}$

$1620=2^2\times 5^1\times 3^2\times 3^2$

$5$ is not group of $2$ Hence $1620$ should be multiplied by $5$ to market.

$\sqrt{1620\times 5}=2\times 5\times 3\times 3=90$