Find the square root of 96.(1 point)

Responses

46–√
4 start root 6 end root

64–√
6 start root 4 end root

166–√
16 start root 6 end root

24

1 answer

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

  1. Break down 96 into its prime factors: \[ 96 = 16 \times 6 = 4^2 \times 6 \]

  2. Now, we can take the square root: \[ \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \]

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

From the provided options, the correct response is: 4 start root 6 end root.