\[\sqrt{15} - \sqrt{19}\ \ \ и\ \ \sqrt{13} - \sqrt{12}\ \]
\[\sqrt{15} - \sqrt{19} < 0;\ \ \ \]
\[\sqrt{13} - \sqrt{12} > 0\]
\[\Longrightarrow \sqrt{15} - \sqrt{19} < \sqrt{13} - \sqrt{12}.\]