Question Detail
\begin{aligned} \sqrt{8}^\frac{1}{3} \end{aligned}
- 2
- 4
- \begin{aligned} \sqrt{2} \end{aligned}
- 8
Answer: Option C
Explanation:
\begin{aligned}
= ((8)^\frac{1}{2})^\frac{1}{3} = 8^{(\frac{1}{2} \times \frac{1}{3})}
\end{aligned}
\begin{aligned}
= (8)^{\frac{1}{6}}
\end{aligned}
\begin{aligned}
= (2)^{3(\frac{1}{6})}
\end{aligned}
\begin{aligned}
= (2)^{\frac{1}{2}}
\end{aligned}
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