Verified Answer :

\(\sqrt{2}\) \(^{5}\) can also be written as \(\sqrt{2}\) x  \(\sqrt{2}\) x  \(\sqrt{2}\)  x  \(\sqrt{2}\)  x  \(\sqrt{2}\) .

\(\sqrt{2}\) x  \(\sqrt{2}\) = 2
2 x  \(\sqrt{2}\) = 2\(\sqrt{2}\) 
2\(\sqrt{2}\) x  \(\sqrt{2}\) = (2)(2) = 4
4 x \(\sqrt{2}\) = 4\(\sqrt{2}\)

The final answer is 4 \(\sqrt{2}\), which is equal to 5.656854249.