Answer
$-2-6\sqrt 3$
Work Step by Step
$(\sqrt 3-4)(2\sqrt 3+2)$
=$\sqrt 3(2\sqrt 3+2)-4(2\sqrt 3+2)$
=$2\sqrt 3\sqrt 3+2\sqrt 3-4(2\sqrt 3)-8$
=$2(3)+2\sqrt 3-8\sqrt 3-8$
=$6+2\sqrt 3-8\sqrt 3-8$
=$6-8+(2-8)\sqrt 3$
=$-2-6\sqrt 3$
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.