Excel in math, science, and engineering

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Let \(a\) and \(b\) with \(a>b>0\) be real numbers satisfying \(a^3+b^3=a+b\). Find \(\sqrt{\dfrac{a}{b}+\dfrac{b}{a}-\dfrac{1}{ab}}\).

Give your answer to 3 decimal

This question is part of the set All-Zebra

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