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 a number $y$ where $y^3=-8$.

Step2: Find the value

Since $(-2)\times(-2)\times(-2)=-8$, then $\sqrt[3]{-8}=-2$.

Answer:

$-2$