1. The problem asks to find the cube root of 64. 2. Recall that the cube root of a number $a$ is a number $b$ such that $b^3 = a$. 3. We need to find $b$ such that $b^3 = 64$. 4. Since $4^3 = 4 \times 4 \times 4 = 64$, we conclude that $\sqrt[3]{64} = 4$. Thus, the cube root of 64 is 4.