heidi3cole heidi3cole
  • 27-08-2017
  • Mathematics
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Is product of a rational number and an irrational number always irrational?

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mathmate
mathmate mathmate
  • 27-08-2017
True.
For example,
2sqrt(2)=sqrt(8)    ..... irrational
3pi ................irrational
Since a rational can always be represented by a fraction, while an irrational cannot, therefore the product of the two will not be represented by a fraction, therefore irrational.

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