Question

If x=1-√2, then x-1/x =?​

Answer 1

Answer:

Correct option is

C

8

Given,

x=1+

2

.

Now,

(x−

x

1

)

3

=(1+

2

−(

1+

2

1

))

3

=[1+

2

−(

2

+1

1

)×(

2

−1

2

−1

)]

3

=[1+

2

−(

2−1

2

−1

)]

3

=[1+

2

−(

2

−1)]

3

=(1+

2

−

2

+1)

3

=2

3

=8.

Therefore, option C is correct.

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