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 …
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 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 solution very …
Showing that tan(1) is irrational - Physics Forums
Feb 11, 2019 · Homework Help Overview The problem involves proving that tan (1 ∘) is irrational, situated within the context of trigonometric functions and properties of rational numbers. Discussion …
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 {n} \) is rational, …
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 …
How Can Rational and Irrational Numbers Combine in Arithmetic ...
May 14, 2017 · The discussion revolves around the combination of rational and irrational numbers in arithmetic operations, specifically focusing on examples where the sum or quotient of irrational …
Irrational Numbers and Real Life I need 6 answers - Physics Forums
Feb 17, 2010 · This discussion centers on the real-life applications of irrational numbers, specifically highlighting their relevance in geometry and finance. Examples include calculating the circumference …
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 …
Prove If x^2 is irrational then x is irrational - Physics Forums
Jan 6, 2012 · The discussion revolves around the proof of the statement "If x^2 is irrational, then x is irrational." Participants explore various approaches to establish this relationship, particularly focusing …