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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Answer 1

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.