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Math Help - Proof the following using denseness in reals

  1. #1
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    Post Proof the following using denseness in reals

    if x in an rational number but not equal to zero and y is an irrational number. Proof that x/y is an irrational number?
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  2. #2
    Senior Member JaneBennet's Avatar
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    If \frac{x}{y} is rational, then y=x\left(\frac{x}{y}\right)^{-1} is rational too. ( \left(\frac{x}{y}\right)^{-1} exists as x\ne0.) Contrapositively, if y is irrational, \frac{x}{y} must be irrational.
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    Thanks

    Thanks for your help Jane.
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