I need to solve the following problem:
Can $\sqrt[3]{2}$ be expressed as a linear combination of roots of unity (with coefficients in $\Bbb Q$)?
I am completely lost because I have no idea of how to start this problem. Can someone help me, please?
2026-03-30 07:28:22.1774855702
Can $\sqrt[3]{2}$ be expressed as a linear combination of roots of unity?
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