Question

find the value of $sqrt3{-8}$.

Explanation:

Step1: Recall cube root definition

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \). We need to find \( y \) where \( y^3=-8 \).

Step2: Find the number whose cube is -8

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

Answer:

\(-2\)