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Square Root of Complex Number

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fdrhs
 
Reply Sun 10 Jul, 2005 04:35 pm
What is the square root of the complex number i?
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Type: Discussion • Score: 1 • Views: 1,251 • Replies: 5
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Brandon9000
 
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Reply Sun 10 Jul, 2005 04:51 pm
Plus or minus (i + 1) / SQRT(2)
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fdrhs
 
  1  
Reply Sun 10 Jul, 2005 05:14 pm
ok but...
Okay but how did you find the answer? What are the steps?
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Brandon9000
 
  1  
Reply Sun 10 Jul, 2005 05:45 pm
i = e ^ (i*pi/2)

i ^ (1/2) = e^(i*pi/4) = cos(pi/4) + i * sin (pi/4) = 1/SQRT(2) + i/SQRT(2)

= (i+1)/SQRT(2)
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fdrhs
 
  1  
Reply Mon 11 Jul, 2005 04:03 pm
Ok...
So there is a way, right?
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Brandon9000
 
  1  
Reply Mon 11 Jul, 2005 04:05 pm
Re: Ok...
mathxyz wrote:
So there is a way, right?

Yes. Read the previous post.
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