What is the value of the expression \sqrt{16\sqrt{8\sqrt{4}}}?
4
4 \sqrt2
8
8 \sqrt2
16
\sqrt{16\sqrt{8\sqrt{4}}} = \sqrt{16\sqrt{8\cdot 2}} = \sqrt{16\sqrt{16}} = \sqrt{16\cdot 4} = \sqrt{64} = \boxed{\textbf{(C)}\ 8}.