Math, asked by rebellove4097, 1 month ago

If x =1 +√2, then show that (x-1 by x square 3= 8

Answers

Answered by angelkalta001
0

Step-by-step explanation:

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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