Question

Find the smallest number by which 3645 must be multiplied so that it becomes perfect square.

Answer 1

Using prime factorization method we have,

$3645=3\times 3\times 3\times 3\times 3\times 3\times 5$

Grouping in pairs we get $(3\times 3)\times (3\times 3)\times (3\times 3)\times 5$

$\therefore$ We have to multiply 3645 by 5 to get a perfect square.