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Thread: subtracting radicals with exponents

  1. January 5th 2010, 02:51 PM #1
    nuckers
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    subtracting radicals with exponents

    Please help

    Expand and Simplify
    (2 sqrt 3 - 3 sqrt 2)^2

    i'm not sure how to do this when there is an exponent in the equation
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  2. January 5th 2010, 03:09 PM #2
    skeeter
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    Quote Originally Posted by nuckers View Post
    Please help

    Expand and Simplify
    (2 sqrt 3 - 3 sqrt 2)^2

    i'm not sure how to do this when there is an exponent in the equation
    note the pattern for squaring this binomial ...

    (a-b)^2 = a^2 - 2ab + b^2


    (2\sqrt{3} - 3\sqrt{2})^2 = (2\sqrt{3})^2 - 2(2\sqrt{3} \cdot 3\sqrt{2}) + (3\sqrt{2})^2 = 12 - 12\sqrt{6} + 18 = 30 - 12\sqrt{6}
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