SOLUTION: Find the square roots of the complex number. (Enter your answers as a comma-separated list.)
13i
Algebra.Com
Question 1174537: Find the square roots of the complex number. (Enter your answers as a comma-separated list.)
13i
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
By deMoivre's Theorem, the primary square root is
The n n-th roots of a complex number have the same magnitude, and they are separated in the complex plane by angles of (2pi)/n.
For this problem with square roots, the other square root is (2pi)/2 = pi radians past the primary square root:
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