How can I find the sum of \(\frac{1}{\sqrt[3]{1}+\sqrt[3]{2}+\sqrt[3]{4}}+\frac{1}{\sqrt[3]{4}+\sqrt[3]{6}+\sqrt[3]{9}}+\frac{1}{\sqrt[3]{9}+\sqrt[3]{12}+\sqrt[3]{16}}\)\((\mathrm{M}\mathrm{A}\Theta\:1992)\)
The sum is 9^(1/3)/4.
+49 
