Question

If $\omega \neq 1$ is a cube root of unity, then one root among the $7^{th}$ roots of $(1+\omega)$ is

• A. $1+\omega$
• B. $1-\omega$
• C. $\omega-\omega^2$
• D. $\omega - \omega^2$

Hint:

Use the identities $1+\omega+\omega^2=0$ and $\omega^3=1$ to simplify expressions involving cube roots of unity.

Answer 1

The Correct Option is A