SOLUTION: Finding the Principal Root of a Complex Number
(-8i)^(1/3)
Algebra.Com
Question 1207569: Finding the Principal Root of a Complex Number
(-8i)^(1/3)
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
Write the given complex number in cis(theta) form:
Use deMoivre's Theorem to find the principal root:
Convert the result back to a+bi form:
ANSWER: 2i
CHECK:
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