Correct Answer: Option C

Explanation

a*b = \(\frac{\text{ab}}{4}\)

\(\sqrt{2}\) * \(\sqrt{6}\) = \(\frac{\text{ab}}{4}\)

\(\sqrt{2}\) * \(\sqrt{6}\) = \(\frac{\sqrt{2} \times \sqrt{6}}{4}\)

= \(\frac{\sqrt{12}}{4}\) = \(\frac{\sqrt{4} \times \sqrt{3}}{4}\) = \(\frac{2\sqrt{3}}{4}\) = \(\frac{\sqrt{3}}{2}\).

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