\[\sqrt{29} - \sqrt{27}\ \ и\ \ \ \sqrt{39} - \sqrt{41}\ \]
\[\sqrt{29} - \sqrt{27} > 0;\ \ \ \]
\[\sqrt{39} - \sqrt{41} < 0\ \]
\[\Longrightarrow \sqrt{29} - \sqrt{27} > \sqrt{37} - \sqrt{41}.\]