Question

find the value of \\(\sqrt3{1000}\\).

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 \( y^3=1000 \).

Step2: Find the number whose cube is 1000

We know that \( 10\times10\times10 = 10^3=1000 \). So by the definition of cube root, \( \sqrt[3]{1000}=\sqrt[3]{10^3} = 10 \).

Answer:

10