Find the square root of 96.(1 point)

Question

Responses

166–√
16 start root 6 end root

24
24

46–√
4 start root 6 end root

64–√

Answer 1

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

1. Factor 96 into its prime factors:

   • \(96 = 16 \times 6\)
   • \(16 = 4^2\), so it can be taken out of the square root.

2. Therefore: \[ \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \]

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

From the responses you provided, the correct one is: 4 start root 6 end root (which is \(4\sqrt{6}\)).