Math, asked by sahamallika381, 1 day ago

(i) If x = 1 + √2, then show that: { x - 1/x }³ = 8​

Answers

Answered by a85827332
1

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.

Similar questions