Question

what is $sqrt3{216}$?

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 \(y^3 = 216\).

Step2: Factorize 216

We know that \(216=6\times6\times6 = 6^3\).

Step3: Determine the cube - root

Since \(216 = 6^3\), then \(\sqrt[3]{216}=6\).

Answer:

6