The value of \((\sqrt8)^{\frac{1}{3}}\) is:
Answer: C
\((\sqrt8)^{\frac{1}{3}}\)
\(= (8^{\frac{1}{2}})^{\frac{1}{3}}\)
\(= 8^{\frac{1}{6}}\)
\(= (2^3)^{\frac{1}{6}}\)
\(= 2^{\frac{1}{2}}\)
\(= \sqrt{2}\)