\[\left| \sqrt{79} - 4\sqrt{5} \right| = \left| \sqrt{79} - \sqrt{80} \right| =\]
\[= - \left( \sqrt{79} - \sqrt{80} \right) =\]
\[= \sqrt{80} - \sqrt{79} = 4\sqrt{5} - \sqrt{79}\]
\[\sqrt{79} - \sqrt{80} < 0.\]