Compute
\[\sum_{n = 2}^{10000} \frac{1}{n \sqrt{n - 1} + (n - 1) \sqrt{n}}.\]
Question:
Compute
\[\sum_{n = 2}^{10000} \frac{1}{n \sqrt{n - 1} + (n - 1) \sqrt{n}}.\]
Answer:
Let's think step by step.

user
\frac{99}{100}
Compute
\[\sum_{n = 2}^{10000} \frac{1}{n \sqrt{n - 1} + (n - 1) \sqrt{n}}.\]
train