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1980 AMC 12 Question 27

AMC12 · 1980 AMC 12

Question 27

The sum $$
\sqrt[3]{5+2\sqrt{13}} +\sqrt[3]{5-2\sqrt{13}}
$$ equals
  1. $\frac32$
  2. $\frac{\sqrt[3]{65}}4$
  3. $\frac{1+\sqrt[6]{13}}2$
  4. $\sqrt[3]2$
  5. none of these