SOLUTION: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.) 81 cis pi

Algebra ->  Vectors -> SOLUTION: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.) 81 cis pi      Log On


   

Question 1079914: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.)
81 cis pi
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The two values of square root of 81cis(pi) are


1)  9%2Acis%28pi%2F2%29 = 9*i,   and


2)  9%2Acis%28pi%2F2%2Bpi%29 = -9*i.


On complex numbers, see relevant lessons in this site
    - 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
    - Solved problem on taking square root of complex number
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".