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) \( D = \frac{1}{2-\sqrt{3}} + \sqrt{7-4\sqrt{3}} \)