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1954 AMC 12 Question 40

AMC12 · 1954 AMC 12

Question 40

If $\left(a+\dfrac1a\right)^2=3,$ then $a^3+\dfrac1{a^3}$ equals:
  1. $\dfrac{10\sqrt3}{3}$
  2. $3\sqrt3$
  3. $0$
  4. $7\sqrt7$
  5. $6\sqrt3$