Logics and Proof - Discrete Mathematics

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SUMMARY

The discussion centers on the mathematical proof regarding the product of two rational numbers and whether it can be irrational. Participants emphasize that the product of two rational numbers is always rational, as defined by the properties of rational numbers. The conversation highlights the importance of understanding basic definitions and properties in discrete mathematics, particularly in logic and proofs.

PREREQUISITES
  • Understanding of rational numbers and their properties
  • Basic knowledge of discrete mathematics
  • Familiarity with mathematical proofs and logical reasoning
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Study the properties of rational and irrational numbers
  • Learn about mathematical proof techniques, such as direct proof and proof by contradiction
  • Explore discrete mathematics concepts, focusing on logic and set theory
  • Practice solving problems related to number theory and rationality
USEFUL FOR

Students of mathematics, educators teaching discrete mathematics, and anyone interested in logical reasoning and proofs in mathematics.

modzz
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Prove or disapprove that the product of two rational numbers is irrational


How do you solve this?

Thanks
 
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Hi modzz! :smile:
modzz said:
Prove or disapprove that the product of two rational numbers is irrational

How do you solve this?

You start by … erm :redface:starting!

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 

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