\[\sqrt{23} + \sqrt{35}\ \ \ и\ \ \ \sqrt{22} + \sqrt{34}\ \]
\[\sqrt{23} > \sqrt{22};\ \ \sqrt{35} > \sqrt{34}\text{\ \ }\]
\[\Longrightarrow \sqrt{23} + \sqrt{35} > \sqrt{22} + \sqrt{34}.\]