Inspired by Nihar

Algebra Level 3

Let aa and bb with a>b>0a>b>0 be real numbers satisfying a2+b2=4aba^2+b^2=4ab. Find abba\dfrac{\sqrt{a}}{\sqrt{b}} - \dfrac{\sqrt{b}}{\sqrt{a}}.

Give your answer to 3 decimal places.


Inspiration.

This question is part of the set All-Zebra

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