Answer
$3-3\sqrt 2i$
Work Step by Step
$(-2+\sqrt {-8})+(5-\sqrt {-50})=(-2+\sqrt {8}i)+(5-\sqrt {50}i)$
where i = $\sqrt {-1}$
$(-2+5)+(+\sqrt {8}i-\sqrt {50}i)=(3)+(+2\sqrt {2}i-5\sqrt {2}i)=$$3-3\sqrt 2i$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.