Question

Find the square root of $4356$ by prime factorization method.

Answer 1

Resolving into prime factors, $4356=\underset{–}{2\times 2}\times \underset{–}{3\times 3}\times \underset{–}{11\times 11}$.

Forming pairs of like prime factors and picking out one factor from each pair, $\sqrt{4356}=2\times 3\times 11=66.$