# Valentine won't show it merci

Algebra Level 5

$x+y+z+\frac{20}{\sqrt{x+z}}+\frac{20}{\sqrt{y+2}}$ Given that $$x,y$$ and $$z$$ are positive reals satisfying $$x^2+y^2+z^2+2xy-3x-3y-3z=0$$, find the minimum of the expression above.

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