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Precalculus
Powers and Roots of Complex Numbers
Question 170312
170312
Assignment
Multiple Dropdowns
Powers and Roots of Complex Numbers
Question 170312 • Precalculus
Consider the complex number z = 27i. What are the characteristics of the cube roots of z?
Answer
The cube roots are located on a circle with center at the pole and radius of .:
3
The cube roots have arguments which differ by π over 3.:
2
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