For positive real number $a,b,c$ prove that
$2\sqrt{ab+bc+ca} \leq \sqrt{3} \sqrt[3]{(a+b)(b+c)(c+a)}$
solution: http://dharmath.thehendrata.com/2009/12/02/solution-inequality/
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[...] Original problem: http://dharmath.thehendrata.com/2009/12/02/inequality/ [...]
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