Find
\[\sum_{n = 1}^{99} \frac{2}{\sqrt{n} + \sqrt{n + 2}}\]in simplest form.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find
\[\sum_{n = 1}^{99} \frac{2}{\sqrt{n} + \sqrt{n + 2}}\]in simplest form.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\sqrt{101} - \sqrt{2} + 9
Find
\[\sum_{n = 1}^{99} \frac{2}{\sqrt{n} + \sqrt{n + 2}}\]in simplest form.
train