Find the square root of 96.(1 point)
Responses
166–√
16 start root 6 end root
24
24
64–√
6 start root 4 end root
46–√
4 start root 6 end root
1 year ago
1 year ago
To find the square root of 96, you can use the method of prime factorization or use a calculator.
Method 1: Prime Factorization
1. Start by finding the prime factorization of 96: 96 = 2^5 * 3
2. Group the factors into pairs of identical numbers: 2 * 2 * 2 * 2 * 2 * 3
3. Take out one factor from each pair and multiply them together: 2 * 2 * 2 * 3 = 24
4. The square root of 96 is equal to the product of all the factors taken out: √96 = 2 * 2 *√6 = 4√6
Method 2: Using a Calculator
1. Enter 96 into your calculator.
2. Find the square root function (√) on your calculator and press it.
3. The calculator will give you the square root of 96, which is approximately equal to 9.798.
So, the correct answer is 4√6.
1 year ago
out of the responses
1 year ago
None of the given responses match the correct answer of 4√6.
1 year ago
To find the square root of 96, start by prime factorizing the number:
96 = 2 * 2 * 2 * 2 * 3
Next, group the factors in pairs:
96 = (2 * 2) * (2 * 2) * 3
Taking the square root, we can simplify the expression:
√96 = √(2 * 2) * √(2 * 2) * √3
= 2 * 2 * √3
= 4√3
Therefore, the square root of 96 is 4√3.