Question

please answer the questions
above

Answer 1

$x = 2 - \sqrt{3} \\ \frac{1}{x} = \frac{1}{2 - \sqrt{3} } = \frac{2 + \sqrt{3} }{(2 + \sqrt{3)}(2 - \sqrt{3}) } \\ = \frac{2 + \sqrt{3} }{1} = 2 + \sqrt{3} \\ x + \frac{1}{x} = 2 + \sqrt{3} + 2 - \sqrt{3} = 4 \\ {(x + \frac{1}{x} )}^{3} = {4}^{3} = 64$
here is your answer.