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QUESTION IMAGE

a) \\(\\sqrt3{x^2}\\)

Question

a) \\(\sqrt3{x^2}\\)

Explanation:

Step1: Convert radical to rational exponent

Recall that $\sqrt[n]{a^m} = a^{\frac{m}{n}}$. For $\sqrt[3]{x^2}$, $n=3$, $m=2$.
$\sqrt[3]{x^2} = x^{\frac{2}{3}}$

Answer:

$x^{\frac{2}{3}}$