Familiar, isn't it?

Algebra Level 5

\[\large \sqrt{x^2+y^2+xy}+\sqrt{y^2+z^2+yz}+\sqrt{x^2+z^2+xz}\] If \(x,y\) and \(z\) are positive reals satisfying \(xy+yz+xz\leq 9xyz\), minimize the expression above to 2 decimal places.

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