Question

find the value of \\(\sqrt3{8}\\).

Explanation:

Step1: Recall the definition of cube root

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 a number \( y \) where \( y^3 = 8 \).

Step2: Find the number whose cube is 8

We know that \( 2\times2\times2 = 2^3 = 8 \). So by the definition of cube root, \( \sqrt[3]{8}=2 \) because \( 2^3 = 8 \).

Answer:

\( 2 \)