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simplify \\(\\sqrt3{8}\\) ?

Question

simplify \\(\sqrt3{8}\\) ?

Explanation:

Step1: Recall cube root definition

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \).

Step2: Find \( y \) for \( x = 8 \)

We need to find \( y \) where \( y^3 = 8 \). Let's test integers: \( 2^3 = 2\times2\times2 = 8 \). So \( \sqrt[3]{8}=2 \).

Answer:

\( 2 \)