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 …
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 …
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 …
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 …
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 …
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 …
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.
Is sqrt (6) an Irrational Number? A Proof without Prefix
May 8, 2014 · The discussion revolves around proving that \ (\sqrt {6}\) is an irrational number. Participants explore the properties of irrational numbers and the implications of their products, …
Why are there more irrational numbers than rational numbers?
Sep 8, 2004 · One participant suggests that there are infinitely many irrational numbers between any two rational numbers, although another points out that the listed examples were rational. Another …
Irrational number to an irrational power • Physics Forums
Jun 13, 2013 · The discussion revolves around the question of whether raising an irrational number to an irrational power results in an irrational number. The original poster references a counterexample …