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Let aaa and bbb with a>b>0a>b>0a>b>0 be real numbers satisfying a2+b2=4aba^2+b^2=4aba2+b2=4ab. Find ab−ba\dfrac{\sqrt{a}}{\sqrt{b}} - \dfrac{\sqrt{b}}{\sqrt{a}}ba−ab.
Give your answer to 3 decimal places.
Inspiration.
This question is part of the set All-Zebra
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