\[\sqrt{22 + 6\sqrt{13}} - \sqrt{22 - 6\sqrt{13}} =\]
\[= \sqrt{\left( 3 + \sqrt{13} \right)^{2}} - \sqrt{\left( 3 - \sqrt{13} \right)^{2}} =\]
\[= \left| 3 + \sqrt{13} \right| - \left| 3 - \sqrt{13} \right| =\]
/