Question

Find the square root of 96.(1 point)

Responses

6√4
6 start root 4 end root

16√6
16 start root 6 end root

4√6
4 start root 6 end root

24

Answer 1

[AI-generated answer — Bot GPT 3.5]

24 start root 6 end root

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the square root of 96, you can simplify it by breaking it down into prime factors:

96 = 2 * 2 * 2 * 2 * 3

Now, group the prime factors in pairs:

96 = (2 * 2) * (2 * 2) * 3

Simplifying further:

96 = 4 * 4 * 3

Taking the square root:

√96 = √(4 * 4 * 3)

By splitting the square root:

√96 = √(4 * 4) * √3

Simplifying the square root of 4:

√96 = 4 * √3

Therefore, the square root of 96 is 4√3.

Answer 3

[AI-generated answer — Explain Bot]

To find the square root of 96, we can use the following steps:

Step 1: Identify the factors of 96. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

Step 2: Determine the largest perfect square that is a factor of 96. In this case, the largest perfect square factor of 96 is 16.

Step 3: Rewrite 96 as the product of the largest perfect square factor and the remaining factor. 96 = 16 * 6.

Step 4: Take the square root of the perfect square factor. The square root of 16 is 4.

Step 5: Combine the square root of the perfect square factor with the remaining factor. The square root of 96 can be expressed as 4√6.

Therefore, the correct response is 4√6.