Find the cubic root of 96.
A. 2 ^3√12
B.2 √12
C.2 ^3√7
D. 4√6
To find the cubic root of 96, we need to find the number that, when cubed, equals 96.
Let's test the answer choices:
A. 2^3√12 = 2 * √12 = 2 * (√4 * √3) = 2 * (2 * √3) = 4√3
B. 2√12 = 2 * √12 = 2 * (√4 * √3) = 2 * (2 * √3) = 4√3
C. 2^3√7 = 2 * √7 = √28 = 2√7
D. 4√6 ≠ ∛96
By process of elimination, the cubic root of 96 is either A. 2^3√12 or B. 2√12. Since both options simplify to 4√3, any of these two options could be correct.