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 $A+B$.
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<|im_start|>user
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 $A+B$.
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5
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 $A+B$.
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