Answer
$\frac{30-5\sqrt 3}{33}$
Work Step by Step
$\frac{5}{6+\sqrt 3}=\frac{5(6-\sqrt 3)}{(6+\sqrt 3)(6-\sqrt 3)}=\frac{30-5\sqrt 3}{36-3}=\frac{30-5\sqrt 3}{33}$
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.