Find the cubic root of 96.
2^3√12
2^3√7
2√12
4√6
The cubic root of 96 is approximately 4.3267.
96 = 4*24 = 4*4*6 = 2*2*2*2*2 *3 = 2^3 * 12
so
96^ (1/3) = 2 * 12^(1/3)
The cubic root of 96 is expressed as 2 * (12^(1/3)).
To find the cubic root of 96, we can use the equation x^3 = 96, where x represents the cubic root we are trying to find.
One way to solve this equation is by using a calculator. Most calculators have a cubic root function that can directly give us the answer. For example, inputting "96 ^ (1/3)" into the calculator will give us the result.
Alternatively, we can estimate the answer by trying different numbers. Cubic roots are often found by trial and error. We can start by trying some whole numbers and see if any of them, when cubed, give us a result close to 96. In this case, we find that 4^3 = 64 is too low, while 5^3 = 125 is too high. Therefore, the cubic root of 96 must be between 4 and 5. As we get closer, we can narrow it down further until we find a more accurate approximation.
So, among the given options, none of them is the correct cubic root of 96.