If $\sqrt{x+2}=2$, then $(x+2)^2$ equals:
$\textbf{(A)}\ \sqrt{2}\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 16$
If we square both sides of the $\sqrt{x+2} = 2$, we will get $x+2 = 4$, if we square that again, we get $(x+2)^2 = \boxed{\textbf{(E) }16}$