Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$  Find
\[\frac{a}{\sqrt{b}} + \frac{b}{\sqrt{a}}.\]The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n.

Let's think step by step and output the final answer within \boxed{}.
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