1983 AHSME Problem 21

Find the smallest positive number from the numbers below.

\textbf{(A)} \ 10-3\sqrt{11} \qquad \textbf{(B)} \ 3\sqrt{11}-10 \qquad \textbf{(C)}\ 18-5\sqrt{13}\qquad \textbf{(D)}\ 51-10\sqrt{26}\qquad \textbf{(E)}\ 10\sqrt{26}-51

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.