Question

Is $2352$ a perfect square? If not, find the smallest number that should be multiplied to $2352$ to make a perfect square. Find the square root of the new numbers.

Answer 1

$\text{Given}\text{number}\text{is}\Rightarrow 2352$

$\text{It}{}^{\prime }\text{s}\text{Factor}$

$2352=2\times 2\times 2\times 2\times 3\times 7\times 7$

$2352=2^4\times 7^2\times 3$

$\text{It}{}^{\prime }\text{s}\text{not}\text{perfect}\text{square}\text{.}$

$\text{So,}$

$\text{The}\text{smallest}\text{number}\text{3}\text{is}$

$\text{multiplied}\text{by}\text{2352}\text{is}\text{make}$

$\text{perfect}\text{square}\text{.}$

$\text{Hence,}\text{3}\text{is}\text{the}\text{answer}\text{.}$