Question

what is $sqrt3{125}$?

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 \( y^3=125 \).

Step2: Find the number whose cube is 125

We know that \( 5\times5\times5 = 5^3=125 \). So by the definition of cube root, \( \sqrt[3]{125} = 5 \) because \( 5^3 = 125 \).

Answer:

\( 5 \)