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Math Help - Inequality

  1. #1
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    Inequality

    I would gladly use a hint to get from a^4+b^4+c^4 \geq a^3+b^3+c^3 to  \frac{a^3}{\sqrt{b^4 + b^2 c^2 + c^4}} + \frac{b^3}{\sqrt{a^4 + a^2 c^2 + c^4}} + \frac{c^3}{\sqrt{a^4 + a^2 b^2 + b^4}} \geq \sqrt{3}. Thanks in advance. (in positive reals)
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  2. #2
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    Aug 2008
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    Still racking my brain on that one... your help will be appreciated
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