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AHSME 1973 Problem 13

    The fraction 2(2+6)32+3\frac{2(\sqrt2+\sqrt6)}{3\sqrt{2+\sqrt3}} is equal to (A) 223(B) 1(C) 233(D) 43(E) 169\textbf{(A)}\ \frac{2\sqrt2}{3} \textbf{(B)}\ 1 \textbf{(C)}\ \frac{2\sqrt3}3 \textbf{(D)}\ \frac43 \textbf{(E)}\ \frac{16}{9}

    Dataset text NuminaMath-1.5. Quoted with source.

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    \frac{4}{3}

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