\[\begin{array}{l}
{\text{Упростите:}} \hfill \\
\sqrt[5]{{232 + 164\sqrt 2 }} + \sqrt[5]{{232 - 164\sqrt 2 }}. \hfill \\
\end{array}\]
\[\sqrt[5]{{232 + 164\sqrt 2 }} + \sqrt[5]{{232 - 164\sqrt 2 }} = \sqrt[5]{{{{\left( {2 + \sqrt 2 } \right)}^5}}} + \sqrt[5]{{{{\left( {2 - \sqrt 2 } \right)}^5}}} = 4.\]
4
