Find the Cubic root of 32.

Question

it needs to be not exponential

Answer 1

The cubic root of 32 can be found by finding the number that, when multiplied by itself twice, equals 32.

One way to calculate the cubic root without using an exponent is by using the prime factorization method.

The prime factorization of 32 is 2^5.

To find the cubic root, we group the prime factors in sets of three:
2^5 = (2^3) * (2^2) = (2 * 2 * 2) * (2 * 2) = 8 * 4

Next, we take the cube root of each set of three factors:
∛(8 * 4) = ∛8 * ∛4

The cube root of 8 is 2, and the cube root of 4 is ∛2 (let's denote it as x for simplicity).

So, the cubic root of 32 is:
∛32 = 2 * ∛2

Therefore, the cubic root of 32 is 2∛2.