Question

Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.

Answer 1

3645 = 5 × (3 × 3) × (3 × 3) × 3 

Here 5 and 3 are unpaired so we have to divide 3645 with 5 × 3 = 15 

Therefore,

\(\frac{3645}{15}\) = 3² x 3²

Hence,

Square root of numbers = \(\sqrt\frac{3645}{15}\) = 3 x 3

= 9