olymmath

KöMaL 2008 B4101

    Assume xyz =8. Prove that 1x2+1+1y2+1+1z2+1>1\frac{1}{\sqrt{x^2+1}}+\frac{1}{\sqrt{y^2+1}}+\frac{1}{\sqrt{z^2+1}}>1.

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