Thực hiện phép tính:
Thực hiện phép tính
----- Nội dung ảnh -----
g) \( \sqrt{5\sqrt{2} + 7 - 3\sqrt{5\sqrt{2} - 7} \)
i) \( \sqrt{2 + \sqrt{-8 + 5\sqrt{57 - 28\sqrt{2}}} \)
k) \( \frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \ldots + \frac{1}{\sqrt{2021} + \sqrt{2022}} \)
l) \( \frac{1}{2\sqrt{1} + 1\sqrt{2}} + \frac{1}{3\sqrt{2} + 2\sqrt{3}} + \frac{1}{4\sqrt{3} + 3\sqrt{4}} + \ldots + \frac{1}{100\sqrt{99} + 99\sqrt{100}} \)
----- Nội dung ảnh -----
g) \( \sqrt{5\sqrt{2} + 7 - 3\sqrt{5\sqrt{2} - 7} \)
i) \( \sqrt{2 + \sqrt{-8 + 5\sqrt{57 - 28\sqrt{2}}} \)
k) \( \frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \ldots + \frac{1}{\sqrt{2021} + \sqrt{2022}} \)
l) \( \frac{1}{2\sqrt{1} + 1\sqrt{2}} + \frac{1}{3\sqrt{2} + 2\sqrt{3}} + \frac{1}{4\sqrt{3} + 3\sqrt{4}} + \ldots + \frac{1}{100\sqrt{99} + 99\sqrt{100}} \)