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Math Help - Surds

  1. #1
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    Surds

    If I had the surd:

    4+ √5
    ------
    3+ √2

    I could work that out as:

    12 - 4 √2 + 3 √5 - √10
    -------------------------
    7


    But If the surd had a number in front of one, e.g:

    4 + 4 √5
    --------
    3 + √2

    How would that change it?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by db5vry View Post
    If I had the surd:

    4+ √5
    ------
    3+ √2

    I could work that out as:

    12 - 4 √2 + 3 √5 - √10
    -------------------------
    7


    But If the surd had a number in front of one, e.g:

    4 + 4 √5
    --------
    3 + √2

    How would that change it?
    The numerator would be (4+4\sqrt{5})(3-\sqrt{2})=12+12\sqrt{5}-4\sqrt{2}-4\sqrt{10}

    The denominator wouldn't change.
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