IMO Shortlist 2006 problem A5


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Dodao/la: arhiva
2. travnja 2012.
2006 alg geo shortlist trokut
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If a, b, c are the sides of a triangle, prove that
\sum_{\mbox{cyc}}\frac{\sqrt{a+b-c}}{\sqrt{a}+\sqrt{b}-\sqrt{c}}\leq 3
Izvor: Međunarodna matematička olimpijada, shortlist 2006