\[\begin{array}{l}
{\text{Докажите тождество:}} \hfill \\
\sqrt[8]{{\frac{{3 + 2\sqrt[4]{2}}}{{3 - 2\sqrt[4]{2}}}}} + \sqrt[8]{{\frac{{3 - 2\sqrt[4]{2}}}{{3 + 2\sqrt[4]{2}}}}} = \frac{1}{7}\sqrt {98 + 14\sqrt {35 + 21\sqrt 2 } } . \hfill \\
\end{array}\]