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Rationalize the denominators of the following:
(i) \(\frac{1}{\sqrt{7}}=\)
(ii) \(\frac{1}{\sqrt{7}-\sqrt{6}}=\)
(iii) \(\frac{1}{\sqrt{5}+\sqrt{2}}=\)
(iv) \(\frac{1}{\sqrt{7}-2}=\)
Answer variants:
\(\frac{\sqrt{7}+2}{3}\)
\(\sqrt{7}+\sqrt{6}\)
\( \frac{\sqrt{7}}{7}\)
\(\frac{(\sqrt{5}-\sqrt{2})}{(\sqrt{52}+\sqrt{22}})\)
\( \frac{1}{7}\)
\(\frac{(\sqrt{5}-\sqrt{2})}{3}\)
\(\frac{\sqrt{7}-\sqrt{6}}{\sqrt{72}-\sqrt{62}}\)
\(\frac{\sqrt{7}-2)}{\sqrt{72}-22}\)
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