Question

$\sqrt3{64} = \boxed{}$

Explanation:

Step1: Recall cube root definition

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \).

Step2: Find \( y \) for \( x = 64 \)

We need to find \( y \) where \( y^3 = 64 \). Let's test some integers: \( 4^3 = 4 \times 4 \times 4 = 64 \). So \( \sqrt[3]{64} = 4 \).

Answer:

4