Question

Find the square root of 96.(1 point)
Responses

24

4√6
4 start root 6 end root

16√6
16 start root 6 end root

6√4

Answer 1

None of the provided responses are correct.

To find the square root of 96, we can factor it into its prime factors: 96 = 2 * 2 * 2 * 2 * 2 * 3.

Then, we can group the prime factors in pairs and take one factor from each pair out of the square root:

√(2 * 2 * 2 * 2 * 2 * 3) = 2 * 2 * √(2 * 3) = 4√6

Therefore, the correct response is 4√6.