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 numbers so obtained.
$252$

Answer 1

Given number = 252

By prime factorization

$252=2\times 2\times 3\times 3\times 7$

In given factor '7' does not have any pair if 7 get any pair the given number will be perfect square

$\therefore 252\times 7=1764$ is a perfect square & $\sqrt{1764}=2\times 3\times 7=42$

square root of 1764 is 42.