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    mrenney's Avatar
    mrenney Posts: 18, Reputation: 1
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    #1

    Dec 7, 2010, 04:16 PM
    Show the following is a field. (You must show that operations are binary first.)
    Show that {Q(√13,+,*} is a field?
    Let Q(√13 ={x+y√13 where x,y are elements of Q}

    Q of course is rational numbers
    Addition and multiplication are defined as follows
    (a+b√13)+(c+d√13) =(a+c)+(b+d)√13
    (a+b√13)(c+d√13) = (ac+13bd)+(ad+bc)√13

    Show that {Q(√13,+,*} is a field
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 7, 2010, 04:21 PM

    If you copy and pasted this from Word, it will not display correctly. It is all garbled and no one can read it.
    mrenney's Avatar
    mrenney Posts: 18, Reputation: 1
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    #3

    Dec 7, 2010, 10:23 PM
    Show that {Q( square root of 13,+,*} is a field?
    Let Q( square root of 13 ={x+y square root of 13 where x,y are elements of Q}

    Q of course is rational numbers
    Addition and multiplication are defined as follows
    (a+b square root of 13)+(c+d square root of 13) =(a+c)+(b+d) square root of 13
    (a+b square root of 13)(c+d square root of 13) = (ac+13bd)+(ad+bc) square root of 13

    Show that {Q( square root of 13,+,*} is a field
    mrenney's Avatar
    mrenney Posts: 18, Reputation: 1
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    #4

    Dec 8, 2010, 04:08 PM
    Comment on galactus's post
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