What is the square root of the 2304 by prime factorization method?

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answer is D.

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Detailed Solution

The given number is 2304.
Now, using prime factorization, represent the supplied number as a product of the prime factors, and create the pairs of related factors such that the two factors in each pair are equal.

⇒ 2304 = 22 × 22 × 22 × 22 × 32 ⇒ 2 × 2 × 2 × 2 × 3 = 48

Thus, 48 is the square root of 2304 as a result.
Therefore, option 4 is correct.

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