simplify $sqrt3{-8}$ using rational numbers.

Explanation:

Step1: Recall cube - root definition

We know that if (x^3 = a), then (\sqrt[3]{a}=x). We need to find a number (x) such that (x^3=-8).

Step2: Find the value of (x)

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

Answer:

(-2)