Question

X=2-√3 find x -
$\frac{1}{x}$


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Answer 1

Answer:

$x = 2 - \sqrt{3} \\ \frac{1}{x} = \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ \frac{1}{x} = \frac{2 + \sqrt{3} }{4 - 3} \\ \frac{1}{x} = 2 + \sqrt{3} \\ \\ \\ so \: \: \: x - \frac{1}{x} = 2 - \sqrt{3} - 2 - \sqrt{3} \\ \: \: \: \: \: \: \: \: = - 2 \sqrt{3}$