# Min of Sum of 3 Terms

Algebra Level pending

Let $$x > 0$$ and $$y > 0$$, and let $$m$$ be the minimum value of $$4 x^2 + \frac{y}{2x} + \frac{4}{xy}$$. Let $$a$$ and $$b$$ be the values of $$x$$ and $$y$$, respectively, that yield the minimum value $$m$$. What is the value of $$m + ab ?$$

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