1. The problem asks to find the cube root of 64, written as $\sqrt[3]{64}$.\n\n2. The cube root of a number $x$ is a value $y$ such that $y^3 = x$.\n\n3. We need to find $y$ such that $y^3 = 64$.\n\n4. Since $64 = 4^3$, we have $y = 4$.\n\n5. Therefore, $\sqrt[3]{64} = 4$.