Answer
The provided statement does not make sense.
Work Step by Step
It is provided that:
$\frac{3+2\sqrt{3}}{2}=3+\sqrt{3}$
Simplify, the left-hand side of above equation as:
$\begin{align}
& \frac{3+2\sqrt{3}}{2}=\frac{3}{2}+\frac{2\sqrt{3}}{2} \\
& =1.5+\sqrt{3}
\end{align}$
Now, consider the right-hand side equation:
$3+\sqrt{3}$
So, right-hand side is not equal to left-hand side as:
$\frac{3+2\sqrt{3}}{2}\ne 3+\sqrt{3}$
So, provided statement does not make sense.