\(\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } \)= ?

\(\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } \)= ?

A 2^{\(\frac{{29}}{{31}}\)}

B 2^{\(\frac{9}{2}\)}

C 2^{\(\frac{{31}}{{32}}\)}

D 2^{\(\frac{{11}}{2}\)}

Solution

Correct Answer: Option C