September 16th, 2016, 05:30 AM  #1 
Newbie Joined: Sep 2016 From: greece Posts: 2 Thanks: 0  complex number problem
(1+i√3)^2= Can u guys solve this one for me? the answer has to be 8 Thanks 
September 16th, 2016, 06:04 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,101 Thanks: 1905 
That seems to be mistyped, as (1+i√3)^3 = 8.

September 16th, 2016, 06:17 AM  #3 
Senior Member Joined: Aug 2016 From: morocco Posts: 273 Thanks: 32 
we have $1+i\sqrt{3}=2(\frac{1}{2}+i\frac{\sqrt{3}}{2})=2e ^{i\frac{\pi}{3}}$ thus $(1+i\sqrt{3})^3=2^3e^{i\pi}=8$ 
September 16th, 2016, 06:33 AM  #4 
Newbie Joined: Sep 2016 From: greece Posts: 2 Thanks: 0 
u are right guys im sorry thanks for making this clear


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complex, math, number, problem 
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