cube root of 2 +1 / cube root of 4

Question

please rationalize the denominator and i would like the answer in fractional form

 

Answer 1

2^1/3 + 1/4^1/3 = 2^1/3 + 1/2^2/3

 

                  = (2+1)/2^2/3 = 3/2^2/3

 

                                     =[3(2^1/3)]/2

Answer 2

2+ 1/(4^1/3) 

 

Combining terms into one fraction gives,

 

=(2(4^1/3) +1)/(4^1/3) 

 

To rationalize, multiply numerator and denominator by a ratio of (4^2/3)/(4^2/3) to get

 

=(2(4)+(4^2/3))/4

 

=(8+(4^2/3))/4