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Rationalize the denominator of $\displaystyle \frac{1}{\sqrt[3]{3} - \sqrt[3]{2}}$. With your answer in the form $\displaystyle \frac{\sqrt[3]{A} + \sqrt[3]{B} + \sqrt[3]{C}}{D}$, and the fraction in lowest terms, what is $A + B + C + D$?

Jul 15, 2020

Here it is in latex. Rationalize the denominator of $$\displaystyle \frac{1}{\sqrt[3]{3} - \sqrt[3]{2}}$$. With your answer in the form $$\displaystyle \frac{\sqrt[3]{A} + \sqrt[3]{B} + \sqrt[3]{C}}{D}$$, and the fraction in lowest terms, what is A + B + C + D?