Originally Posted by
alexmahone $\displaystyle \sqrt{10}+2\sqrt{2}<6$
$\displaystyle \Leftrightarrow 10+8+8\sqrt{5}<36$ (Squaring both sides)
$\displaystyle \Leftrightarrow 8\sqrt{5}<18$
$\displaystyle \Leftrightarrow 320<324$ (Squaring both sides)
which is true.