moongazer
  • moongazer
Explain why the sum, the difference, and the product of two rational numbers are rational numbers. Is the product of two irrational numbers necessarily irrational? What about the sum?
Mathematics
chestercat
  • chestercat
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moongazer
  • moongazer
-Because when you add and multiply rational numbers you will still obatain a fraction or ratio of two integers. -No -Yes Is this the best explanation?
ParthKohli
  • ParthKohli
Yes.
moongazer
  • moongazer
If not , please give me some hints :)

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ParthKohli
  • ParthKohli
If you need counter-proofs: 1) No counter-proof. 2) \(\rm i\times i = 1\) 3) No counter-proof.

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