Question

A rationalizing and
factor
2^ 1/3 + 2^-1/3​

Answer 1

Answer:

Given,

To find the rationalising factor of 2

3

1

+2

−

3

1

formula, x

3

+y

3

=(x+y)(x

2

−xy+y

2

)

here, x=2

3

1

,y=2

−

3

1

Therefore, rationalising factor of 2

3

1

+2

−

3

1

is

=(2

3

1

)

2

−2

3

1

×2

−

3

1

+(2

−

3

1

)

2

=2

3

2

−1+2

−

3

2

verification:

(2

3

1

+2

−

3

1

)(2

3

2

−1+2

−

3

2

)

=2−2

3

1

+2

3

−1

+2

3

1

−2

3

−1

+2

−1

=2+2

−1

=

2

5