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 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 …
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 …
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 …
Why are there more irrational numbers than rational numbers?
Sep 8, 2004 · The discussion revolves around the question of why there are more irrational numbers than rational numbers, exploring concepts of cardinality, the nature of real numbers, and various …
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.
If a, b are irrational, then is - Physics Forums
Jan 13, 2017 · Homework Statement True or false and why: If a and b are irrational, then a b is irrational. Homework Equations None, but the relevant example provided in the text is the proof of irrationality …