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AHSME 1970 Problem 1

    The fourth power of 1+1+1\sqrt{1+\sqrt{1+\sqrt{1}}} is (A) 2+3(B) 12(7+35)(C) 1+23(D) 3(E) 3+22\text{(A) } \sqrt{2}+\sqrt{3} \text{(B) } \tfrac{1}{2}(7+3\sqrt{5}) \text{(C) } 1+2\sqrt{3} \text{(D) } 3 \text{(E) } 3+2\sqrt{2}

    Dataset text NuminaMath-1.5. Quoted with source.

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    3+2\sqrt{2}

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