# A basic inequality

Algebra Level 4

$\large \frac{x^3}{x+\sqrt{yz}}+\frac{y^3}{y+\sqrt{xz}}+\frac{z^3}{z+\sqrt{xy}}$ If $$x,y,z$$ are positive reals satisfy $$x+y+z\geq 3$$, find the minimum value of the expression above

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