Find the square root of 96.(1 point)
Responses
46–√
4 start root 6 end root
166–√
16 start root 6 end root
64–√
6 start root 4 end root
24
24
4 start root 6 end root
To find the square root of 96, you can use a calculator or simplify it as follows:
96 = 16 × 6
Taking the square root of each factor:
√(16) = 4 and √(6)
So, the simplified form of the square root of 96 is:
4√6
To find the square root of 96, you can use a calculator or the method of prime factorization. Here's how you can do it:
1. Begin by finding the prime factors of 96. The prime factors of 96 are 2, 2, 2, 2, and 3. (2^4 * 3)
2. Group the prime factors into pairs of the same number. In this case, we can group two 2s together: 2 * 2 = 4.
3. Take one number from each pair and multiply them together. In this case, take one 2 and the 3: 2 * 3 = 6.
4. The number obtained (in this case, 6) is the square root of the given number (96).
So, the square root of 96 is 6.