# How do you add (4+sqrt50) - (3-sqrt8)?

$\left(\textcolor{red}{4} + \textcolor{b l u e}{\sqrt{50}}\right) - \left(\textcolor{red}{3} - \textcolor{b l u e}{\sqrt{8}}\right)$
$= \left(\textcolor{red}{4} + \textcolor{b l u e}{5 \sqrt{2}}\right) - \left(\textcolor{red}{3} - \textcolor{b l u e}{2 \sqrt{2}}\right)$
$= \textcolor{red}{4 - 3} + \textcolor{b l u e}{5 \sqrt{2} + 2 \sqrt{2}}$
(don't forget to switch the sign on $2 \sqrt{2}$!)
$= 1 + 7 \sqrt{2}$