Question

If $\alpha_1,\alpha_2,...,\alpha_8$ are the $8$, $8th$ roots of unity, then

• A. $\alpha_1^3+\alpha_2^3+...+\alpha_8^3=24$
• B. $\alpha_1+\alpha_2+...+\alpha_8=1$
• C. $\alpha_1^{50}+\alpha_2^{50}+...+\alpha_8^{50}=0$
• D. $\alpha_1^{48}+\alpha_2^{48}+...+\alpha_8^{48}=0$

Answer 1

Answer: (C)

Correct answer is (c) $\alpha_1^{50}+\alpha_2^{50}+...+\alpha_8^{50}=0$