Rational & Irrational Numbers

Discussion in 'Algebra' started by nycmathguy, Nov 7, 2021.

  1. nycmathguy

    nycmathguy

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    Set 1.1

    20211106_195901.jpg

    20211106_195609.jpg

    20211106_195637.jpg

    20211106_195653.jpg
     
    nycmathguy, Nov 7, 2021
    #1
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Nov 7, 2021
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  3. nycmathguy

    HallsofIvy

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    I am afraid that you and mathlover1 are both misreading the problem! The problem specifically said that a and b must both be irrational numbers! 3 and 4 are of course rational. An example of two irrattional numbers whose some is rational is are a= sqrt{3} and b= -\sqrt{3}. Another example is 5+ 3sqrt{7} and 8- 3sqrt{7}.
     
    HallsofIvy, Nov 7, 2021
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  4. nycmathguy

    MathLover1

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    you are right, a and b must both be irrational numbers......thank you (it happens sometimes, English is not my native language) :)
     
    MathLover1, Nov 7, 2021
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  5. nycmathguy

    nycmathguy

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    I thank you for pointing out my error.
     
    nycmathguy, Nov 7, 2021
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  6. nycmathguy

    HallsofIvy

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    Your English is far better than my (put pretty much any language here- maybe even English).
     
    HallsofIvy, Nov 10, 2021
    #6
  7. nycmathguy

    MathLover1

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    Thank you very much for kind words. What is your native language?
     
    MathLover1, Nov 10, 2021
    #7
  8. nycmathguy

    HallsofIvy

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    English! (and native English speakers are notoriously bad at it.)
     
    HallsofIvy, Nov 10, 2021
    #8
  9. nycmathguy

    MathLover1

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    agree that some are notoriously bad at it, but not you
    I assume you are math teacher, am I right?
     
    MathLover1, Nov 10, 2021
    #9
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