# A problem by Shivam Upadhyay

Level pending

Let $$a = |x|$$ and $$b = |y|$$. If $$xy > 0$$, find the value of $\left| \dfrac{x+y}{2} - \sqrt{xy} \right| + \left| \dfrac{x+y}{2} + \sqrt{xy} \right|.$

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