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Homework Help: Can someone check this for me?

  1. Oct 25, 2006 #1
    Find the prime factorization of 6 in Q[sqrt(-1)].

    Ans : Since 6 = 2*3
    so 6 = (1+sqrt(-1)) (1-sqrt(-1)) *3 Q.E.D.

    Do I need to add anything to it? Am I done with this question? Please kindly advise me. Thank you very much.
     
  2. jcsd
  3. Oct 25, 2006 #2

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    How do you know those are prime?
     
  4. Oct 25, 2006 #3
    because 2 and 3 are prime.
     
  5. Oct 25, 2006 #4

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    I mean 1+sqrt(-1), 1-sqrt(-1), and 3 in the field Q(sqrt(-1)).
     
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