Maths Olympiad Prep

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, 2016

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

For which value of kk is 2016+56\sqrt{2016} + \sqrt{56} equal to 14k14^k?

(A) 12\frac{1}{2} (B) 34\frac{3}{4} (C) 54\frac{5}{4} (D) 32\frac{3}{2} (E) 52\frac{5}{2}

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