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 …
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 …
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 …
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 …
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 …
Understanding Irrational Numbers: Is it Possible to Exact Measure?
Feb 18, 2004 · The discussion centers around the nature of irrational numbers and the possibility of measuring them exactly. Participants explore the implications of measurement accuracy, the …
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 …
Is a non-repeating and non-terminating decimal always an irrational ...
Jan 29, 2013 · A non-repeating and non-terminating decimal is always classified as an irrational number, as it cannot be expressed as the ratio of two integers. The discussion highlights the decimal …
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 …