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
The square root of 96 is approximately 9.8. None of the given options match this answer.
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.
out of the responses
None of the given responses match the correct answer of 4√6.
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.