1981 AHSME Problems/Problem 1

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If $\sqrt{x+2}=2$, then $(x+2)^2$ equals $\textbf{(A)}\ \sqrt{2}\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 16$