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TR-MO-R1 2008 Problem 18

    Kaç tane nn pozitif tamsayısı için n+n+n+n\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n}}}} tamsayıdır?

    a) 11 b) 22 c) 33 d) Sonsuz e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 6. Quoted with source.

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