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To find the square root of 96, we can use a calculator or a mathematical method called prime factorization. Let's explore the prime factorization method to determine the square root of 96:
1. Begin by finding the prime factors of 96. The prime factorization of 96 is 2^5 * 3.
2. Next, group the prime factors in pairs and take one factor from each pair outside of the square root sign. The remaining factors stay inside the square root sign.
√96 = √(2^5 * 3)
= √(2^4 * 2 * 3)
= √(16 * 2 * 3)
3. Simplify inside the square root sign by multiplying the factors together.
√(16 * 2 * 3) = √(96) = 4√6
Therefore, the square root of 96 is 4√6.
From the given responses, none of them provide the correct answer. The correct response would be 4√6.