Question 121
Compute the value of
$$
\frac{\sum_{n=1}^{99} (\sqrt{10 + \sqrt{n}})}{\sum_{n=1}^{99} (\sqrt{10 - \sqrt{n}})}
$$
$$
\frac{\sum_{n=1}^{99} (\sqrt{10 + \sqrt{n}})}{\sum_{n=1}^{99} (\sqrt{10 - \sqrt{n}})}
$$
MathNet 2009-part-02 — 175 problems (EN–VI) Question 121
Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)