\[\boxed{\mathbf{111}\mathbf{5}\mathbf{\text{.\ }}Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \sqrt{\left( 10 - \sqrt{11} \right)^{2}} =\]
\[= \left| 10 - \sqrt{11} \right| = 10 - \sqrt{11}\]
\[2)\ \sqrt{\left( 3 - \sqrt{6} \right)^{2}} + \sqrt{\left( 2 - \sqrt{6} \right)^{2}} =\]
\[= \left| 3 - \sqrt{6} \right| + \left| 2 - \sqrt{6} \right| =\]
\[= 3 - \sqrt{6} + \sqrt{6} - 2 = 1\]
\[3)\ \sqrt{\left( \sqrt{24} - 5 \right)^{2}} - \sqrt{\left( \sqrt{24} - 4 \right)^{2}} =\]
\[= \left| \sqrt{24} - 5 \right| - \left| \sqrt{24} - 4 \right| =\]
\[= 5 - \sqrt{24} - \sqrt{24} + 4 =\]
\[= 9 - 2\sqrt{24}\]