$$\frac { 1 } { \sqrt { 5 } } + \frac { \sqrt { 8 } } { 4 }$$
$\frac{2\sqrt{5}+5\sqrt{2}}{10}\approx 1.154320377$
$\frac{\sqrt{2} \sqrt{5} {(\sqrt{2} + \sqrt{5})}}{10} = 1.1543203766865058$
