Question

what is the rationalising factor of 2 to the power of 1/3 and how?​

Answer 1

2^1/3 + 2^-1/3 = a+b. Since 2^1/3 and 2^-1/3 are cubic surds then have to be cubed to convert them to rational numbers. Hence a^2 - ab+ b^2 is the rationalising factor of a+b.