\[\begin{array}{l}
{\text{Упростите:}} \hfill \\
\sqrt[5]{{\frac{{123 + 55\sqrt 5 }}{2}}} + \sqrt[5]{{\frac{{123 - 55\sqrt 5 }}{2}}}. \hfill \\
\end{array}\]
\[\begin{array}{l}
\frac{{123 + 55\sqrt 5 }}{2} = {\left( {\frac{{3 + \sqrt 5 }}{2}} \right)^5} \hfill \\
\frac{{123 - 55\sqrt 5 }}{2} = {\left( {\frac{{3 - \sqrt 5 }}{2}} \right)^5} \hfill \\
\end{array}\]
\[3\]