Complicated Expression

Level pending

Let \(x_1\) and \(x_2\) be the roots of the equation \(x^2-3x+1=0\). The value of:

\(\frac{x_1}{\sqrt{x_2}}+\frac{x_2}{\sqrt{x_1}}\) can be written as \(a\sqrt{b}\) where \(a\) and \(b\) are coprime positive integers.What is \(a+b\)?

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