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AMC 10 2022b Problem 5

  • Paper

What is the value of (1+13)(1+15)(1+17)(1−132)(1−152)(1−172)?\frac{\left(1+\frac13\right)\left(1+\frac15\right)\left(1+\frac17\right)}{\sqrt{\left(1-\frac{1}{3^2}\right)\left(1-\frac{1}{5^2}\right)\left(1-\frac{1}{7^2}\right)}}? (A) 3(B) 2(C) 15(D) 4(E) 105\textbf{(A)}\ \sqrt3 \textbf{(B)}\ 2 \textbf{(C)}\ \sqrt{15} \textbf{(D)}\ 4 \textbf{(E)}\ \sqrt{105}

Dataset text NuminaMath-1.5. Quoted with source.

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