AHSME 1980 Problem 27

The sum $\sqrt[3] {5+2\sqrt{13}}+\sqrt[3]{5-2\sqrt{13}}$ equals $\text{(A)} \ \frac 32 \text{(B)} \ \frac{\sqrt[3]{65}}{4} \text{(C)} \ \frac{1+\sqrt[6]{13}}{2} \text{(D)}\ \sqrt[3]{2} \text{(E)}\ \text{none of these}$