Solve: z3 = 64

Question

Group of answer choices

z = 4

z = ±4

z = 8

Answer 1

To solve the equation \( z^3 = 64 \), we need to find the cube root of 64.

Calculating the cube root:

\[ z = \sqrt[3]{64} \]

Evaluating this, we know that \( 4^3 = 64 \), so:

\[ z = 4 \]

The cube root function has only one real root, which is positive in this case, hence it does not include negative roots as found in square roots. Therefore, the only correct answer is:

\[ z = 4 \]

So the correct choice from the given options is: z = 4.