Quick questions on Roots of unity - TCE Mathematics Specialised (Tasmania)

1short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are properties of the cube roots?

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The cube roots of unity

1, \omega, \omega^2

appear so often that their two key identities are worth memorising:

1 + \omega + \omega^2 = 0

and

\omega^3 = 1

. These collapse otherwise messy expressions in a single line.

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