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 …
Proving √n Irrational: A Proof by Contradiction - Physics Forums
Oct 23, 2012 · The discussion focuses on proving that the square root of a non-perfect square integer \ ( n \) is irrational using a proof by contradiction. The proof begins by assuming \ ( \sqrt …
Irrational Number Raised To Irrational Number - Physics Forums
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 …
Is there always at least one irrational number between any two …
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 …
Irrational Numbers: Expressible as Infinite Summations?
Nov 18, 2003 · The discussion centers around whether all irrational numbers can be expressed as infinite summations, similar to well-known constants like Pi and e. Participants explore the …
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 …
Proof that cube roots of 2 and 3 are irrational - Physics Forums
Jul 20, 2018 · The discussion revolves around the proof of the irrationality of the cube roots of 2 and 3, focusing on various approaches and the challenges encountered in establishing these …
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. …
Is Pi divided by E rational, and what other irrational numbers exist ...
Aug 1, 2012 · Does anyone know if it has ever been proved that pi divided e, added to e, or any other mathematical operation combining these two irrational numbers is rational. Another thing …
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, …