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[tex] = \frac{1 + \sqrt{2} }{1 - \sqrt{2} } \times \frac{1 + \sqrt{2} }{1 + \sqrt{2} } \\ = \frac{1 + \sqrt{2} + \sqrt{2} + 2 }{1 + \sqrt{2} - \sqrt{2} - 2 } \\ = \frac{3 + 2 \sqrt{2} }{ - 1} \\ = \frac{3}{ - 1} + \frac{2 \sqrt{2} }{ - 1} \\ = - 3 - 2 \sqrt{2} [/tex]