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