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.
2
________ =
∛4 + ∛32
___________ =
∛4 + 2∛4
2 ∛ 2
_____________ * ____ =
3∛ 4 ∛2
2 ∛2
______ =
3 ∛8
_____ =
3 * 2
∛2
_______
3
A + B = 5
