Correct Answer: Option C

Explanation

( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)

= \(\frac{2 + √3 + 2(2 - √3)}{(2 - √3)(2 + √3)}\)

= 2 + √3 + 4 - 2√3 

= (6 - √3)\(^{-1}\)

= \(\frac{1}{6 - √3}\)

= \(\frac{6 + √3}{6 - √3  *  6 + √3}\)

= \(\frac{6 + √3}{33}\)

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