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
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.
To find the square root of 96, you can use a calculator or simplify the expression in radical form.
Using a calculator, the square root of 96 is approximately 9.8.
In radical form, you can simplify the square root of 96 by breaking it down into its prime factors: 2 * 2 * 2 * 2 * 3.
Simplifying this, you can write the square root of 96 as 4√6.
To find the square root of 96, we can use a calculator or solve it manually. Here's how to do it manually:
1. Determine the prime factors of the number 96. The prime factors of 96 are 2, 2, 2, 2, and 3. (To find the prime factors, divide the number by the smallest prime factor repeatedly until a prime number is obtained.)
2. Group the factors into pairs of twos. In this case, we have two pairs of twos: (2, 2) and (2, 2).
3. Take one number from each pair and multiply them together. In this case, multiply 2 by 2 to get 4.
4. The product, 4, is the square root of the common factors of 96.
Therefore, the square root of 96 is 4 times the square root of 6, which can be written as 4√6.