Answer
$3+2\sqrt{5}$
Work Step by Step
Factoring the $GCF=2$ and then cancelling the common factor between the numerator and the denominator, the given expression, $
\dfrac{6+4\sqrt{5}}{2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{2(3+2\sqrt{5})}{2}
\\\\=
\dfrac{\cancel{2}(3+2\sqrt{5})}{\cancel{2}}
\\\\=
3+2\sqrt{5}
.\end{array}