Question Find the square root of 96.(1 point) Responses 166–√ 16 start root 6 end root 46–√ 4 start root 6 end root 24 24 64–√

1 answer

To find the square root of 96, we can simplify it as follows:

  1. First, factor 96: \( 96 = 16 \times 6 \)

  2. Then, take the square root: \( \sqrt{96} = \sqrt{16 \times 6} \)

  3. Using the property of square roots, we can separate it: \( \sqrt{96} = \sqrt{16} \times \sqrt{6} \)

  4. Since \( \sqrt{16} = 4 \): \( \sqrt{96} = 4\sqrt{6} \)

Therefore, the simplified square root of 96 is \( 4\sqrt{6} \).

Among the provided options, the correct response is:

  • \( 4\sqrt{6} \)