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IMAS 2021–2022 Junior — Round 1 Question 14

IMAS · IMAS 2021–2022 Junior — Round 1

Question 14

If $a=\sqrt[3]4+\sqrt[3]2+\sqrt[3]1$, then what is the value of $\frac3a+\frac3{a^2}+\frac1{a^3}$?
  1. 1
  2. 7
  3. $\sqrt[3]6$
  4. $\frac{19}8$
  5. $\sqrt[3]4$