The square root of the number 9216 by the prime factorization method will be 96.

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Detailed Solution

We have to check if the square root of the number 9216 by the prime factorization method will be 96.
Calculating the square root of 9216 using the prime factorization method:

∵ 9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 ∴ 9216 = 22 × 22 × 22 × 22 × 22 × 32 = 2 × 2 × 2 × 2 × 2 × 3 = 96

Hence, the given statement is true.
Therefore, option 1 is correct.

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