3.27: Exact curve value with surds

A curve has equation $y = 3\sqrt{x} + 6 + \dfrac{1}{\sqrt{x}}$ where $x > 0$. Find the exact value of $y$ when $x = 6$. Give your answer in the form $a + b\sqrt{c}$, where $a$, $b$ and $c$ are integers.