IMO Shortlist 2001 problem A6
Dodao/la:
arhiva2. travnja 2012. Prove that for all positive real numbers
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%V0
Prove that for all positive real numbers $a,b,c$, $$\frac{a}{\sqrt{a^2 + 8bc}} + \frac{b}{\sqrt{b^2 + 8ca}} + \frac{c}{\sqrt{c^2 + 8ab}} \geq 1.$$
Izvor: Međunarodna matematička olimpijada, shortlist 2001
Školjka 
