Question

find the value of \\(sqrt3{27}\\).

Explanation:

Step1: Recall cube root definition

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \). So we need to find a number \( y \) where \( y^3 = 27 \).

Step2: Find the number with cube 27

We know that \( 3\times3\times3 = 3^3 = 27 \). So by the definition of cube root, \( \sqrt[3]{27} = 3 \) because \( 3^3 = 27 \).

Answer:

\( 3 \)