# Inspired by Nihar

Algebra Level 3

Let $$a$$ and $$b$$ with $$a>b>0$$ be real numbers satisfying $$a^2+b^2=4ab$$. Find $$\dfrac{\sqrt{a}}{\sqrt{b}} - \dfrac{\sqrt{b}}{\sqrt{a}}$$.

Give your answer to 3 decimal places.

This question is part of the set All-Zebra

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