\(\begin{array}{l}
\sqrt {193 - 132\sqrt 2 } + \sqrt {193 + 132\sqrt 2 } \\
= \sqrt {{{11}^2} - 2.11.6\sqrt 2 + {{\left( {6\sqrt 2 } \right)}^2}} + \sqrt {{{11}^2} - 2.11.6\sqrt 2 + {{\left( {6\sqrt 2 } \right)}^2}} \\
= \sqrt {{{\left( {11 - 6\sqrt 2 } \right)}^2}} + \sqrt {{{\left( {11 + 6\sqrt 2 } \right)}^2}} \\
= 11 - 6\sqrt 2 + 11 + 6\sqrt 2 = 22
\end{array}\)
