To find the value of $f(0) + f(3)$, I need to evaluate $f(0)$ and $f(3)$ separately and then add them together. To evaluate $f(0)$, I plug in $x = 0$ into the function definition and simplify: $f(0) = \sqrt{3(0)} + 2 = \sqrt{0} + 2 = 0 + 2 = 2$. To evaluate $f(3)$, I plug in $x = 3$ into the function definition and simplify: $f(3) = \sqrt{3(3)} + 2 = \sqrt{9} + 2 = 3 + 2 = 5$. Now I can add $f(0)$ and $f(3)$ to get the final answer: $f(0) + f(3) = 2 + 5 = 7$. 
What is the value of $f(0) + f(3)$ given $f(x) = \sqrt{3x} + 2$?