List questions from rationality-testing

Published on 31 Dec 2019 - 2:07

35

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Equivalent conditions for a logarithm to be rational

Published on 09 Jan 2020 - 17:09

309

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Rationality and transcendence of zeros of Bessel functions

Published on 10 Jan 2020 - 7:38

125

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Show $\frac{\sqrt{\sqrt[4]8-\sqrt{\sqrt2+1}\;}}{\sqrt{\sqrt[4]8+\sqrt{\sqrt2-1}\;} -\sqrt{\sqrt[4]8-\sqrt{\sqrt2-1}\;}}=\frac1{\sqrt2}$

Published on 10 Jan 2020 - 22:16

114

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Prove $\sqrt{2}$ is irrational using prime number properties

Published on 18 Jan 2020 - 5:52

56

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Find all rational angles in degrees whose cosine is also rational

Published on 18 Jan 2020 - 11:46

473

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Proof that $\log_23 +\log_52$ is irrational number

Published on 23 Feb 2026 - 6:36

166

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Rational Zero Test of Polynomials

Published on 10 May 2020 - 16:33

39

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Showing some decimal representations are not rational

Published on 03 Jun 2020 - 14:12

38

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Prove rationality of a number by proof by contradiction

Published on 04 Jun 2020 - 9:54

231

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Determining the parity of the coefficients of a quadratic given that there is a rational solution

Published on 22 Jun 2020 - 13:26

162

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How To Show The Irrationality Of $0.0110001111...$

Published on 04 Jul 2020 - 22:20

246

Views

Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

Published on 25 Mar 2026 - 16:13

668

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Are there any natural proofs of irrationality using the decimal characterization?

Published on 19 Jul 2016 - 19:46

230

Views

$\sqrt 1+\sqrt 2 +\sqrt 3 +\cdots +\sqrt {2009}$ change a sign to be rational

Published on 22 Jul 2016 - 19:54

List Question

Is $\zeta^2(3)$ irrational?

Equivalent conditions for a logarithm to be rational

Rationality and transcendence of zeros of Bessel functions

Show $\frac{\sqrt{\sqrt[4]8-\sqrt{\sqrt2+1}\;}}{\sqrt{\sqrt[4]8+\sqrt{\sqrt2-1}\;} -\sqrt{\sqrt[4]8-\sqrt{\sqrt2-1}\;}}=\frac1{\sqrt2}$

Prove $\sqrt{2}$ is irrational using prime number properties

Find all rational angles in degrees whose cosine is also rational

Proof that $\log_23 +\log_52$ is irrational number

Rational Zero Test of Polynomials

Showing some decimal representations are not rational

Prove rationality of a number by proof by contradiction

Determining the parity of the coefficients of a quadratic given that there is a rational solution

How To Show The Irrationality Of $0.0110001111...$

Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

Are there any natural proofs of irrationality using the decimal characterization?

$\sqrt 1+\sqrt 2 +\sqrt 3 +\cdots +\sqrt {2009}$ change a sign to be rational

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