List questions from rationality-testing

Published on 26 Oct 2016 - 16:13

200

Views

Prove that $(n+\sqrt n)^{1/2}$ is irrational for every $n\in\Bbb N$

Published on 30 Oct 2016 - 9:17

145

Views

Sum of radicals is rational only for perfect squares

Published on 24 Nov 2016 - 15:13

1.4k

Views

Proving the irrationality of the number $\cos\frac\pi9$

Published on 26 Nov 2016 - 19:07

1.2k

Views

Prove $2^{1/3} + 2^{2/3}$ is irrational

Published on 29 Nov 2016 - 17:57

653

Views

Prove that $\sqrt{5n+2}$ is irrational

Published on 05 Dec 2016 - 19:28

1k

Views

Is $\ln(\ln(n))$ irrational for any integer $n>1$?

Published on 18 Dec 2016 - 16:13

135

Views

Is $0.a_{1}a_{2}a_{3}\cdots a_{n}\cdots$ with $a_{n}\equiv \lfloor n\sin{n}\rfloor\pmod {10}$ a rational number?

Published on 22 Dec 2016 - 1:42

157

Views

Is anything known about the irrationality of Kempner series?

Published on 05 Jan 2017 - 5:58

78

Views

Is $\sum_{p} \frac{1}{2^p}$ irrational?

Published on 05 Jan 2017 - 15:22

829

Views

Proof that $2^{1/3} - 1/( 2 ^ {1/3} $) is irrational

Published on 10 Jan 2017 - 19:02

994

Views

Please critique my proof that $\sqrt{12}$ is irrational

Published on 26 Jan 2017 - 18:41

260

Views

Alternative Proof to irrationality of $\sqrt{2}$ using linear algebra

Published on 06 Feb 2017 - 13:39

409

Views

Prove $\sqrt[m]{D}$ irrationality simply, without unique prime factorization

Published on 07 Feb 2017 - 5:47

312

Views

Error in proving $e + \pi$ is irrational.

Published on 08 Feb 2017 - 0:31

List Question

Show that $\sqrt{q}$ is irrational

Prove that $(n+\sqrt n)^{1/2}$ is irrational for every $n\in\Bbb N$

Sum of radicals is rational only for perfect squares

Proving the irrationality of the number $\cos\frac\pi9$

Prove $2^{1/3} + 2^{2/3}$ is irrational

Prove that $\sqrt{5n+2}$ is irrational

Is $\ln(\ln(n))$ irrational for any integer $n>1$?

Is $0.a_{1}a_{2}a_{3}\cdots a_{n}\cdots$ with $a_{n}\equiv \lfloor n\sin{n}\rfloor\pmod {10}$ a rational number?

Is anything known about the irrationality of Kempner series?

Is $\sum_{p} \frac{1}{2^p}$ irrational?

Proof that $2^{1/3} - 1/( 2 ^ {1/3} $) is irrational

Please critique my proof that $\sqrt{12}$ is irrational

Alternative Proof to irrationality of $\sqrt{2}$ using linear algebra

Prove $\sqrt[m]{D}$ irrationality simply, without unique prime factorization

Error in proving $e + \pi$ is irrational.

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