It is a known fact thatand
in general a square root always has two roots, one positive and one
negative. Alsohas
four possible answers, since
To find the nth roots of a complex number we write it
in polar form if it is not already in polar form. This done we apply
the following:
where
Example Find the cube roots of 27
so the cube roots are given by:
within
order
ie the cube roots areThe
last simplifies so the roots are
Example Find the 4th roots of 16i
so the cube roots are given by:
within
order
ie the fourth roots are
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