SEAMO 2027 - Paper E - SET 02 - Self-study Question 18

Evaluate $$\frac{2020}{\sqrt1+\sqrt5}+\frac{2020}{\sqrt5+\sqrt9}+\frac{2020}{\sqrt9+\sqrt{13}}+\cdots+\frac{2020}{\sqrt{2021}+\sqrt{2025}}.$$