A) \(\frac{\sqrt{10}-\sqrt{2}}{\sqrt{5}-1} + \frac{2-\sqrt{2}}{\sqrt{2}-1}\) b) \(\frac{1}{1-\sqrt{2}}\) c) \(\frac{1}{\sqrt{3}-\sqrt{2}} + \frac{1}{\sqrt{3}+\sqrt{2}}\) d) \(\frac{\sqrt{3}-\sqrt{12}}{\sqrt{5}-2} + 6 + \frac{2\sqrt{6}}{\sqrt{3}+\sqrt{2}}\)
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a)\( \(\frac{\sqrt{10}-\sqrt{2}}{\sqrt{5}-1} + \frac{2-\sqrt{2}}{\sqrt{2}-1}\)\)
b) \(\(\frac{1}{1-\sqrt{2}}\)\)
c) \(\(\frac{1}{\sqrt{3}-\sqrt{2}} + \frac{1}{\sqrt{3}+\sqrt{2}}\)\)
d) \(\(\frac{\sqrt{3}-\sqrt{12}}{\sqrt{5}-2} + 6 + \frac{2\sqrt{6}}{\sqrt{3}+\sqrt{2}}\)\)
