Answer
$x=\frac{4}{5}$
Work Step by Step
Applying the rules of radicals:
$\frac{5}{\sqrt 8-2}=\frac{\sqrt 8+2}{x}$
$(\sqrt 8)^2-2^2=5x$
$5x=4$
$x=\frac{4}{5}$
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.