1980 AHSME Problems/Problem 27
Problem
The sum ![$\sqrt[3] {5+2\sqrt{13}}+\sqrt[3]{5-2\sqrt{13}}$](http://latex.artofproblemsolving.com/1/7/b/17bdbabd42c80acc2d8e8e6dadc7b7afd91968a2.png)
equals
![$\text{(A)} \ \frac 32 \qquad \text{(B)} \ \frac{\sqrt[3]{65}}{4} \qquad \text{(C)} \ \frac{1+\sqrt[6]{13}}{2} \qquad \text{(D)}\ \sqrt[3]{2}\qquad \text{(E)}\ \text{none of these}$](http://latex.artofproblemsolving.com/1/b/7/1b7ee865b061b3278bcf81aca65d35e47d85f783.png)
Solution
See also
| 1980 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 26 |
Followed by Problem 28 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
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