Question

11. If x = 1 - √2, find the value of( x – 1/x )^3​

Answer 1

Refer the attachment......

Answer 2

Step-by-step explanation:

x = 1 - √2

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

{(1 - √2 ) - ( - 1 - √2 )}³

= ( 1 - √2 + 1 + √2 )³

= ( 2 )³

= 8

Hope it helps you........

please mark my answer as brainleist.........