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Rationalize the denominator of \(\frac{2}{\sqrt[3]{4}+\sqrt[3]{32}}\). The answer can be written in the form of \(\frac{\sqrt[3]{A}}{B}\), where A and B are positive integers. Find the minimum possible value of A + B.

 Jun 18, 2021
 #1
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+1

      2

________   =

∛4  + ∛32

 

 

       2

___________  = 

∛4  +  2∛4

 

 

       2                          ∛ 2

_____________   *   ____    =

      3∛ 4                     ∛2

 

2 ∛2

______    =

 3 ∛8

 

2 ∛ 2

_____   =

3 * 2

 

     ∛2

_______

      3

 

A + B    =  5

 

cool cool cool

 Jun 18, 2021

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