Question

simplify (sqrt3{64})

Explanation:

Step1: Recall cube root definition

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \). So we need to find \( y \) where \( y^3 = 64 \).

Step2: Find the cube of integers

Check integers: \( 4^3 = 4\times4\times4 = 64 \). So \( \sqrt[3]{64}=4 \).

Answer:

\( 4 \)