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1. $\frac{\sqrt{2}}{\sqrt{6} + 2}$

Answer: Option C

Explanation:

\frac{\sqrt{2}}{\sqrt{6 + 2}} = \frac{\sqrt{2} (\sqrt{6} - 2)}{(\sqrt{6} + 2) (\sqrt{6} - 2)} = \frac{\sqrt{2} . \sqrt{2} (\sqrt{3} - \sqrt{2})}{6 - 4} = \frac{2 (\sqrt{3} - \sqrt{2})}{6 - 4} = \sqrt{3} - \sqrt{2}

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