Question

is 2352 a perfect square? If not, find the smallest whole number by which 2352 must be multiplied so that the product is a perfect square find the square root of the new number

Answer 1

$2352 = 4 \times 4 \times 7 \times 7 \times 3 \\ = {4}^{2} \times {7}^{2} \times 3$
Therefore 2352 is not a perfect square.
To make it perfect square, multiply with 3.
New number is
$2352 \times 3 = 7056$
It's square root is
$4 \times 7 \times 3 = 84$