December 4th, 2016, 08:38 PM  #1 
Newbie Joined: Dec 2016 From: USA Posts: 11 Thanks: 0  Nth root theorem
Find all nth roots of Z for n and z as given. Write answers in polar form and plot in complex plane Z= i N=6 
December 4th, 2016, 08:54 PM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 1,207 Thanks: 614 
write $Z = e^{i \pi /2}$ then the 6 6th roots are given by $\huge e^{\frac{i (\pi /2 + 2 k \pi)}{6}}, ~\large k=0,1,\dots 5$ 

Tags 
nth, root, theorem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Don't use the rational root theorem to solve the following:  John Travolski  Algebra  3  March 16th, 2016 06:03 PM 
Reference book suggestion to study Rational root theorem  Newtonist  Math Books  0  April 24th, 2015 09:22 PM 
integrate root(1x^2)/root(1+x^2) x dx  mared  Calculus  3  May 18th, 2014 04:39 PM 
principal square root and de Moire's theorem  opentojoin  Number Theory  3  February 21st, 2014 07:50 AM 
Infinite Root in Root  adhiluhur  Algebra  1  June 13th, 2010 04:30 AM 