Answer:
[tex]\huge\boxed{\sqrt[3]{64}=4}[/tex]
Step-by-step explanation:
We know:
[tex]\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a[/tex]
We have:
[tex]\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64[/tex]