# Focus on AM-GM

Algebra Level 4

Given that $$x\geq1; y\geq2 ; z\geq3$$, let h be the maximum value of $$I$$ where $I=\frac{yz\sqrt{x-1}+xz\sqrt{y-2}+xy\sqrt{z-3}}{xyz}.$ Submit your answer as $$\lceil{h}\rceil+10$$.

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