a,b,c>0 . Prove the inequality :

1/[a.\sqrt{a+b}] + 1/[b.\sqrt{b+c}]+1/[c.\sqrt{c+a}] >= 3/(\sqrt{2abc}

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- Nov 4th 2005, 01:32 AMmathAlgebraic Inequality
a,b,c>0 . Prove the inequality :

1/[a.\sqrt{a+b}] + 1/[b.\sqrt{b+c}]+1/[c.\sqrt{c+a}] >= 3/(\sqrt{2abc}