Answer
$5\sqrt{2}+5$
Work Step by Step
Multiply using the conjugate
$\frac{5}{\sqrt{2}-1}\cdot \frac{\sqrt{2}+1}{\sqrt{2}+1}=\frac{5\sqrt{2}+5}{2-1}={5\sqrt{2}+5}$
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.