Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$  Find
\[\frac{a}{\sqrt{b}} + \frac{b}{\sqrt{a}}.\]
Question:
Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$  Find
\[\frac{a}{\sqrt{b}} + \frac{b}{\sqrt{a}}.\]
Answer:
Let's think step by step.

user
2 \sqrt{5}
Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$  Find
\[\frac{a}{\sqrt{b}} + \frac{b}{\sqrt{a}}.\]
train