Answer
$a=b$
Work Step by Step
$\frac{a+b}{2}=\sqrt{ab}\\a+b=2\sqrt{ab}\\(a+b)^2=4ab\\a^2+b^2+2ab=4ab\\a^2+b^2-2ab=0\\(a-b)^2=0\\a-b=0\\a=b$
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