1.

Please solve this question step by step

Answer»

Given : <klux>X</klux> = 1 - \sqrt{<klux>2</klux>}


= > \frac{1}{x} = \frac{1}{1 - \sqrt{2}} * \frac{1 + \sqrt{2}}{1 + \sqrt{2}}


= > \frac{1 + \sqrt{2}}{1^2 - (\sqrt{2})^2}


= > \frac{1 + \sqrt{2}}{1 - 2}


= > \frac{1 + \sqrt{2}}{-1}


= > -1 - \sqrt{2}


Now,


= > x - \frac{1}{x} = 1 - \sqrt{2} - (-1 - \sqrt{2})


= > 2.


Therefore,


= > (x - 1/x)^3 = (2)^3


= 8.





Hope this HELPS!


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