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  1. irrational = rational - Physics Forums

    Mar 13, 2005 · One participant proposes a general case involving the difference between a rational number and an irrational number being irrational, suggesting this leads to the conclusion that the …

  2. How Do We Know If Irrational or Transcendental Numbers Repeat?

    Mar 25, 2014 · The discussion revolves around the nature of irrational and transcendental numbers, specifically whether their decimal expansions can repeat. Participants explore the implications of …

  3. Constructing Lengths with Irrational Numbers - Physics Forums

    Dec 6, 2004 · The discussion revolves around the construction of lengths that are irrational numbers, particularly in the context of geometric figures like right triangles and circles. Participants explore the …

  4. Is there always at least one irrational number between any two rational ...

    Jun 26, 2008 · But again, an irrational number plus a rational number is also irrational. Therefore, there is always at least one rational number between any two rational numbers. However, the same proof …

  5. Irrational Number Raised To Irrational Number - Physics Forums

    Jun 17, 2021 · The discussion revolves around whether an irrational number raised to an irrational power can yield a rational result. The original poster presents a specific case involving \ ( A = (\sqrt …

  6. Understanding Irrational Numbers: Is it Possible to Exact Measure?

    Feb 18, 2004 · The discussion centers around the nature of irrational numbers and the possibility of measuring them exactly. Participants explore the implications of measurement accuracy, the …

  7. Proving Root n is Irrational: Perfect Square Affects Proof

    Feb 6, 2011 · How to prove that root n is irrational, if n is not a perfect square. Also, if n is a perfect square then how does it affect the proof.

  8. Irrational Numbers and Real Life I need 6 answers - Physics Forums

    Feb 17, 2010 · The discussion revolves around the real-life applications of irrational numbers, exploring their relevance and implications in various contexts, including mathematics, carpentry, and …

  9. Irrational numbers aren't infinite. are they? - Physics Forums

    Dec 28, 2016 · The discussion revolves around the nature of irrational numbers, specifically questioning whether they are infinite or merely unmeasurable. Participants explore the concept of irrational …

  10. Is sqrt(5) Rational? Understanding the Proof by Contradiction

    Nov 23, 2003 · The discussion revolves around the rationality of square roots, specifically focusing on whether sqrt (5) and sqrt (6) are rational or irrational. Participants explore various proof techniques, …