Question

$\sqrt3{729} = \square$

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 \( y\times y\times y=729 \).

Step2: Test possible numbers

We know that \( 9\times9 = 81 \), and then \( 81\times9=729 \). So \( 9^3 = 729 \). By the definition of cube root, \( \sqrt[3]{729}=9 \).

Answer:

\( 9 \)