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$\\sqrt3{216} = \\square$

Question

$\sqrt3{216} = \square$

Explanation:

Step1: Recall the definition of cube root

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \). So we need to find a number \( y \) where \( y^3 = 216 \).

Step2: Find the cube of integers

We know that \( 6\times6\times6 = 6^3 = 216 \). So by the definition of cube root, \( \sqrt[3]{216}=6 \).

Answer:

\( 6 \)