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Identify Roots Quick Check
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Find the square root of 96.(1 point)
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64–√
6 start root 4 end root
24
24
166–√
16 start root 6 end root
46–√
4 start root 6 end root
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Answers
GPT-4o mini
To find the square root of 96, we can start by simplifying it.
1. We can factor 96 into its prime factors:
\( 96 = 16 \times 6 = 4^2 \times 6 \).
2. We know that \( \sqrt{16} = 4 \) and we can express the square root:
\( \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \).
So, the square root of 96 is \( 4\sqrt{6} \).
Considering the provided options, the correct response would be:
**4√6**.
1. We can factor 96 into its prime factors:
\( 96 = 16 \times 6 = 4^2 \times 6 \).
2. We know that \( \sqrt{16} = 4 \) and we can express the square root:
\( \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \).
So, the square root of 96 is \( 4\sqrt{6} \).
Considering the provided options, the correct response would be:
**4√6**.