simplify $sqrt3{64}$ using rational numbers.

Explanation:

Step1: Recall the cube - root definition

We know that if $x^3 = a$, then $\sqrt[3]{a}=x$. We need to find a number $x$ such that $x^3 = 64$.

Step2: Find the cube - root of 64

We know that $4\times4\times4=4^3 = 64$. So, $\sqrt[3]{64}=4$.

Answer:

$4$