SOLUTION: What are the three cube roots of -i. Express the roots in rectangular coordinates, and use exact values.

Question 1099469: What are the three cube roots of -i. Express the roots in rectangular coordinates, and use exact values.

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

The three cube roots of  -i  are

  1) i

  2)  = ,   and

  3)  =

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On complex numbers, see the lessons
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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