Answer
$6\sqrt{3}-3$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
\sqrt{3}(6-\sqrt{3})
,$ is equivalent to
\begin{array}{l}\require{cancel}
6\sqrt{3}-\sqrt{3(3)}
\\\\=
6\sqrt{3}-\sqrt{9}
.\end{array}
Using the properties of radicals, the expression above simplifies to
\begin{array}{l}\require{cancel}
6\sqrt{3}-\sqrt{(3)^2}
\\\\=
6\sqrt{3}-3
.\end{array}
