Find the square root of 9216 by using the method of prime factorizati – InterviewSolution

1.

Find the square root of 9216 by using the method of prime factorization.

Answer»

Given 9216 A square can always be expressed as a product of pairs of equal factors

Resolve the given number into prime factors

We get 9216 =2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

√9216 = 2 × 2 × 2 × 2 × 2 × 3 = 96

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