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MathNet 2011 Question 98

Math Olympiad Vault · MathNet 2011

Question 98

Evaluate
$$\frac{\sqrt{45+\sqrt1}+\sqrt{45+\sqrt2}+\cdots+\sqrt{45+\sqrt{2024}}}{\sqrt{45-\sqrt1}+\sqrt{45-\sqrt2}+\cdots+\sqrt{45-\sqrt{2024}}}.$$