1.

If \(x = \frac{4}{{2\sqrt 3 + 3\sqrt 2 }}\) then find the value of \(\left( {x + \frac{1}{x}} \right)\)

A. \(\frac{{\left( {10\sqrt 3 + 15\sqrt 2 } \right)}}{{12}}\)
B. \(\frac{{\left( {10\sqrt 3 - 15\sqrt 2 } \right)}}{{12}}\)
C. \(\frac{{ - \left( {10\sqrt 3 - 33\sqrt 2 } \right)}}{{12}}\)
D. \(\frac{{\left( {10\sqrt 3 + 33\sqrt 2 } \right)}}{{12}}\)
Answer» D. \(\frac{{\left( {10\sqrt 3 + 33\sqrt 2 } \right)}}{{12}}\)


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