Tính giá trị các biểu thức sau
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a) \( A = \frac{\sqrt{6 + 2\sqrt{5}}}{\sqrt{5 + 1}} + \frac{\sqrt{5 - 2\sqrt{6}}}{\sqrt{3 - \sqrt{2}}} \)
b) \( B = \frac{3}{\sqrt{5} - \sqrt{2}} + \frac{4}{\sqrt{6} + \sqrt{2}} + \frac{1}{\sqrt{6} + \sqrt{5}} \)
c) \( C = \frac{1}{\sqrt{1 + \sqrt{2}}} + \frac{1}{\sqrt{2 + \sqrt{3}}} + \frac{1}{\sqrt{3 + \sqrt{4}}} + \ldots + \frac{1}{\sqrt{99 + \sqrt{100}}} \)
d) \( D = \frac{1}{2 - \sqrt{3}} + \sqrt{7 - 4\sqrt{3}} \)
a) \( A = \frac{\sqrt{6 + 2\sqrt{5}}}{\sqrt{5 + 1}} + \frac{\sqrt{5 - 2\sqrt{6}}}{\sqrt{3 - \sqrt{2}}} \)
b) \( B = \frac{3}{\sqrt{5} - \sqrt{2}} + \frac{4}{\sqrt{6} + \sqrt{2}} + \frac{1}{\sqrt{6} + \sqrt{5}} \)
c) \( C = \frac{1}{\sqrt{1 + \sqrt{2}}} + \frac{1}{\sqrt{2 + \sqrt{3}}} + \frac{1}{\sqrt{3 + \sqrt{4}}} + \ldots + \frac{1}{\sqrt{99 + \sqrt{100}}} \)
d) \( D = \frac{1}{2 - \sqrt{3}} + \sqrt{7 - 4\sqrt{3}} \)