# A geometry problem by Aditya Moger

Geometry Level 3

$\large \dfrac x{\sqrt{1+x^2}} + \dfrac y{\sqrt{1+y^2}} + \dfrac z{\sqrt{1+z^2}} \leq \dfrac{3\sqrt3}2$

If $$x,y$$ and $$z$$ are real numbers such that $$x + y + z = xyz$$, then is the inequality above correct?

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