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December 4th, 2016, 08:38 PM   #1
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Nth root theorem

Find all nth roots of Z for n and z as given. Write answers in polar form and plot in complex plane

Z= i N=6
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December 4th, 2016, 08:54 PM   #2
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write

$Z = e^{i \pi /2}$

then the 6 6th roots are given by

$\huge e^{\frac{i (\pi /2 + 2 k \pi)}{6}}, ~\large k=0,1,\dots 5$
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