MHB Square Root Solutions for Complex Numbers

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View attachment 4273Helppp for part (ii). I got 3$e^{\frac{1}{6}\theta i}$
 

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Milly said:
Helppp for part (ii). I got 3$e^{\frac{1}{6}\theta i}$ Do you mean $\color{red}{3e^{\frac{1}{6}\pi i}}$?
The two square roots of $re^{\theta i}$ are $\sqrt re^{\frac12\theta i}$ and $\sqrt re^{(\frac12\theta+ \pi) i}$.
 

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