If r is rational(r does not equal 0) and x is irrational, prove that r + x and rx irrational.
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Originally Posted by Nichelle14 If r is rational(r does not equal 0) and x is irrational, prove that r + x and rx irrational. Assume that, is rational. Thus, Then, But, is rational, Thus, must be rational. A contradiction. ---- Assume that, is rational. Thus, Now, thus, Thus, is rational. A contradiction.
Thank you. That makes sense. I thought of doing something with p/q, but didn't know how to proceed. Again thank you.
Originally Posted by Nichelle14 Thank you. That makes sense. I thought of doing something with p/q, but didn't know how to proceed. Again thank you. You are welcome. Let us keep all you question in "Number Theory" section. I like to leave misselanous topic in that section.
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