Let $a$ and $b$ be positive real numbers.  Find the minimum value of
\[\frac{a}{b} + \frac{5b}{a}.\]
Question:
Let $a$ and $b$ be positive real numbers.  Find the minimum value of
\[\frac{a}{b} + \frac{5b}{a}.\]
Answer:
Let's think step by step.

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2 \sqrt{5}
Let $a$ and $b$ be positive real numbers.  Find the minimum value of
\[\frac{a}{b} + \frac{5b}{a}.\]
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