Find the cubic root of 96.(1 point)
2 ^3√7
2 root index 3 start root 7 end root
2 ^3√12
2 root index 3 start root 12 end root
4√6
4 start root 6 end root
2√12
2 start root 12 end root
To find the cubic root of 96, you can use the formula:
Cubic root of x = x^(1/3)
Therefore, the cubic root of 96 is:
96^(1/3) = 4.326749mp
So, the answer is approximately 4.326749.
To find the cubic root of a number, you need to find the number that, when multiplied by itself three times, gives the original number.
Let's calculate the cubic root of 96 step by step:
1. Take the prime factorization of 96: 96 = 2^5 * 3^1.
2. Separate the prime factors into groups of three: 96 = (2^3) * (2^2) * (3^1).
3. Rewrite each group of three as a single factor with a cube root symbol: 96 = 2^3√(2^2 ∙ 3^1).
4. Simplify within the cube root: 2^3√(2^2 ∙ 3^1) = 2^3√(4 ∙ 3).
5. Evaluate the simplified cube root: 2^3√(4 ∙ 3) = 2^3√(12).
6. Rewrite the cube root in exponential form: 2^3√12 = 2√12.
So, the cubic root of 96 is 2√12.