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Math Help - Solving equations involving surds 2

  1. #1
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    Solving equations involving surds 2

    Given that ( a + √3 ) ( b - √3 ) = 7 + 3√3 and that a and b are positive integers,
    Find the values of a and b.
    ANSWER: a = 2, b = 5..
    But how does one derive those values?
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  2. #2
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    Re: Solving equations involving surds 2

    Quote Originally Posted by Seaniboy View Post
    Given that ( a + √3 ) ( b - √3 ) = 7 + 3√3 and that a and b are positive integers,
    Find the values of a and b.
    ANSWER: a = 2, b = 5..
    But how does one derive those values?
    (a+\sqrt3)(b-\sqrt3)=ab+(b-a)\sqrt3-3
    Thanks from topsquark
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