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 …

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. …

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

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 …

Oct 23, 2012 · The problem reads as follows: Let n be a positive integer that is not a perfect square. Prove that √n is irrational. I understand the basic outline that a proof would have. …

Jun 17, 2021 · Can an irrational number raised to an irrational power yield an answer that is rational? This problem shows that the answer is “yes.” (However, if you study the following …

Mar 8, 2004 · The discussion centers on the distinctions and relationships between irrational numbers and transcendental numbers, exploring definitions, examples, and implications within …

Jul 24, 2013 · There is a discussion about whether an irrational number could appear rational in another base, specifically mentioning that Pi in base Pi is represented as 10. Some …

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 …

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