Question
Identify Roots Quick Check
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Question
Find the square root of 96.(1 point)
Responses
16√6
16 start root 6 end root
4√6
4 start root 6 end root
24
24
6√4
6 start root 4 end root
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Answers
GPT-4o mini
To find the square root of 96, we can simplify it as follows:
1. First, factor 96 into its prime factors:
\[
96 = 16 \times 6 = 4^2 \times 6
\]
2. Now we take the square root:
\[
\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6}
\]
Therefore, the square root of 96 is \( 4\sqrt{6} \).
The correct answer is:
**4√6**.
1. First, factor 96 into its prime factors:
\[
96 = 16 \times 6 = 4^2 \times 6
\]
2. Now we take the square root:
\[
\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6}
\]
Therefore, the square root of 96 is \( 4\sqrt{6} \).
The correct answer is:
**4√6**.