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Powers of Complex Numbers (DeMoivre's Theorem)
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Powers of Complex Numbers (DeMoivre's Theorem)
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11. Graphing Complex Numbers / Powers of Complex Numbers (DeMoivre's Theorem) / Problem 3
Problem 3
Determine all the complex sixth roots of 729. Express the roots in rectangular form and round to one decimal if needed.
A
3, -1.3 + 3.4i, -6.7 + 9.2i, -3, 5.8 - 7.5i, - 4.7 + 8.2i
B
3, 3/2 + (3i√3)/2, - 3/2 + (3i√3)/2, -3, - 3/2 - (3i√3)/2, 3/2 - (3i√3)/2
C
2, -10.2 + 2.6i, - 5.1 + 8.4i, -2, 8.3 - 6.3i, - 5.8 + 6.5i
D
2, 2/3 + (2i√2)/3, - 2/3 + (2i√2)/3, -2, - 2/3 - (2i√2)/3, 2/3 - (2i√2)/3
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