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Math Help - Algebraic Inequality

  1. #1
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    Algebraic 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}

    \frac{1}{a\sqrt{a+b}} + \frac{1}{b\sqrt{b+c}} + \frac{1}{c\sqrt{c+a}} \geq \frac{3}{\sqrt{2abc}}
    Last edited by MathGuru; November 21st 2005 at 04:05 PM.
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