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    Real Analysis of Powers and Roots

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    Suppose that is not a perfect nth power, i.e K is not equal to

    (a) Prove that is not a member of Q, the set of all rational numbers.

    (b) Infer that the nth root of a natural number is either a natural number or it is irrational.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:29 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-powers-roots-24315

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