Question

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Answer 1

$x = 1 + \sqrt{2} \\ x - \frac{1}{x} = 1 + \sqrt{2} - \frac{1}{1 + \sqrt{2} } \times ( \frac{1 - \sqrt{2} }{1 - \sqrt{2} } ) \\ = 1 + \sqrt{2} - \frac{1 - \sqrt{2} }{ {1}^{2} - { \sqrt{2} }^{2} } \\ = 1 + \sqrt{2 } - \frac{1 - \sqrt{2} }{1 - 2} \\ = 1 + \sqrt{2} + 1 - \sqrt{2} \\ = 2$

Hope you understand.

Answer 2

Answer:

the answer is in picture

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