Rational & Irrational Numbers...2

Discussion in 'Algebra' started by nycmathguy, Oct 16, 2021.

  1. nycmathguy

    nycmathguy

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    (a) Give an example in which the result of raising an irrational number to an irrational power yields an irrational number.

    (b) Give an example in which the result of raising an irrational number to a irrational power is a rational number.
     
    nycmathguy, Oct 16, 2021
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  2. nycmathguy

    MathLover1

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    a.
    sqrt(2)^(sqrt(2)) we don‘t know whether is rational or irrational
    but [​IMG]

    and sqrt(2)^(1/3) is an irrational

    b.
    [​IMG]
     
    MathLover1, Oct 22, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Interesting little problems from the David Cohen textbook.

    Check this out:

    Rational & Irrational Numbers
     
    nycmathguy, Oct 22, 2021
    #3
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