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March 26, 2017

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find a polynomial with integer coefficients such that square root of 3 + square root of 5 is a root of the polynomial

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    There are an infinite number of polynomials with that as one solution, but one of the simplest would be the one for which 3 - sqrt5 is also a solution. That would be
    (x -3 -sqrt5)(x -3 +sqrt5)= 0
    (x-3)^2 -5 = 0
    x^2 -6x +4 = 0

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