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.
$2028$

Answer 1

Given number = 2028

using prime factorization.

$2028=2\times 2\times 3\times 13\times 13$

if 3 get a pair then above number will be perfect square.

$2028\times 3=6084$

$\sqrt{6084}=2\times 3\times 13=78$