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Math Help - additional roots

  1. #1
    Junior Member
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    additional roots

    A polynomial equation with rational coefficients has the given roots. Find two additional roots.


    14.) 4 - √6 and √3

    I can do the √3 one its x^2 = 3, but not the other one.
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  2. #2
    MHF Contributor
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    Conjugate: [4 + sqrt(6)]*[4-sqrt(6)] = 4^2 - 6 -- No more square roots.
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