Question

Find the smallest whole number by which $396$ should be multiplied so as to get a perfect square number. Also find its square root.

Answer 1

Given number = 396

using prime factorization

$396=2\times 2\times 3\times 3\times 11$

if above number is multiplied by 11 then it will be perfect square.

$396\times 11=4356$

& $\sqrt{4356}=66.$