Identify Roots Quick Check

Question

1 of 51 of 5 Items
Question
Find the square root of 96.(1 point)
Responses

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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Answer 1

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.