find the value of $sqrt3{-27}$.

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 $y^3=-27$.

Step2: Find the value of $y$

We know that $(- 3)\times(-3)\times(-3)=-27$. So, $\sqrt[3]{-27}=-3$.

Answer:

$-3$