\[\sqrt{33 + 8\sqrt{17}} - \sqrt{33 - 8\sqrt{17}} =\]
\[= \sqrt{\left( 4 + \sqrt{17} \right)^{2}} - \sqrt{\left( 4 - \sqrt{17} \right)^{2}} =\]
\[= \left| 4 + \sqrt{17} \right| - \left| 4 - \sqrt{17} \right| =\]
/