Question

If = √2 + 1 , then find the value of
(i) ( −1/)2(square)
(ii) 3(cube) +1/3(cube)

Answer 1

Answer:

Given, x=2+2

2/3

+2

1/3

⇒(x−2)=2

2/3

+2

1/3

⇒(x−2)=2

2/3

+2

1/3

On cubing both sides, we get

(x−2)

3

=2

2

+2+3⋅2

2/3

⋅2

1/3

(2

2/3

+2

1/3

)

⇒x

3

−6x

2

+12x−8=4+2+3×2×(x−2)

⇒x

3

−6x

2

+6x=2.