Using De Moivre's theorem and nth roots of complex numbers I need help puting z= the square root of 3 + i in trig form then finding the 5th roots of z and how to graph the roots.
Can you answer this?

asterisk_man

http://en.wikipedia.org/wiki/De_Moivre's_formula seems like a good source of info on De Moivre's formula.

First you need to convert z=3+i into polar form. Look here: http://en.wikipedia.org/wiki/Polar_c...an_coordinates

Graphing the result should be easy. Your answer should be a complex number, graph the point with the real part as the x coordinate and the imaginary part as the y coordinate.

Ask any questions if you don't understand something or want someone to review what you have done.
Thanks!

Capuchin

Complex coordinates are delicious! Mmmm!!

Elisha Grey

z = 3 + i = sqrt (10) e^(i arc tan(1/3)) = 10^(1/2) e^(i arc tan(1/3)), so sqrt z =
10^(1/4) e^(i(1/2)arc tan(1/3)).