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    Show that 2^(1/3) + 3^(1/3) is irrational.

    Homework Statement Show that 2^(1/3) + 3^(1/3) is irrational. Hint: show that [x][/0] = 2^(1/3) + 3^(1/3) is algebraic by constructing an explicit polynomial f(x) with integer coefficients such that f([x][/0]) = 0. Then prove that f(x) has no rational roots. Note:[x][/0] means x subscript...
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