Find the square root of each of the following numbers by using the method of prime factorization:

Question

Find the square root of each of the following numbers by using the method of prime factorization: 9216

Philoid · Accepted Answer

By resolving given number into prime factors, we get

9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Therefore,

= 2 × 2 × 2 × 2 × 2 × 3 = 96