If \[{{\left[ \sqrt{\mathbf{2}}{{\left( \mathbf{1}{{\mathbf{6}}^{\mathbf{1/4}}}\mathbf{+777}{{\mathbf{6}}^{\mathbf{1/5}}} \right)}^{\mathbf{4}}} \right]}^{\mathbf{n}}}\mathbf{=4}\sqrt{\mathbf{2}}\], then find value of n.

If \[{{\left[ \sqrt{\mathbf{2}}{{\left( \mathbf{1}{{\mathbf{6}}^{\math

1.	If \[{{\left[ \sqrt{\mathbf{2}}{{\left( \mathbf{1}{{\mathbf{6}}^{\mathbf{1/4}}}\mathbf{+777}{{\mathbf{6}}^{\mathbf{1/5}}} \right)}^{\mathbf{4}}} \right]}^{\mathbf{n}}}\mathbf{=4}\sqrt{\mathbf{2}}\], then find value of n.
A.	\[\frac{1}{4}\]
B.	\[\frac{1}{6}\]
C.	\[\frac{1}{5}\]
D.	\[\frac{1}{3}\]
E.	None of these
Answer» D. \[\frac{1}{3}\]

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If \[{{\left[ \sqrt{\mathbf{2}}{{\left( \mathbf{1}{{\mathbf{6}}^{\mathbf{1/4}}}\mathbf{+777}{{\mathbf{6}}^{\mathbf{1/5}}} \right)}^{\mathbf{4}}} \right]}^{\mathbf{n}}}\mathbf{=4}\sqrt{\mathbf{2}}\], then find value of n.

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