Let $a$ and $b$ be positive real numbers.  Find the minimum value of
\[\frac{a}{b} + \frac{5b}{a}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a$ and $b$ be positive real numbers.  Find the minimum value of
\[\frac{a}{b} + \frac{5b}{a}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

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