According to Sec. 9, the three cube roots of a nonzero complex number z0 can be written

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According to Sec. 9, the three cube roots of a nonzero complex number z0 can be written c0, c0Ï‰3, c0Ï‰23 where c0 is the principal cube root of z0 and

Show that if z0 = ˆ’4 ˆš2 + 4 ˆš2i, then c0 = ˆš2(1 + i) and the other two cube roots are, in rectangular form, the numbers

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:35 AM

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According to Sec. 9, the three cube roots of a nonzero complex number z0 can be written

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1 2π 3 2 (V3-1) (31)i cooj coco3 = /2 V2

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Complex Variables and Applications

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