List questions from rationality-testing

Published on 09 Jun 2015 - 2:02

511

Views

Proof that irrational coprime square root sums and products are always irrational?

Published on 10 Jun 2015 - 22:56

347

Views

Very simple proof that $\sqrt{2}$ is irrational.

Published on 19 Jun 2015 - 19:22

219

Views

Is $ (((\sqrt{2})^ \sqrt{2})^ \sqrt{2})^{\cdots} $ an irrational number?

Published on 22 Jun 2015 - 14:23

359

Views

What is known about the sum $\sum\frac1{p^p}$ of reciprocals of primes raised to themselves?

Published on 30 Jun 2015 - 0:52

419

Views

Prove or disprove that $\sqrt{2+\frac{1}{n}}$ is irrational for $n \in \mathbb{Z}^+$

Published on 30 Jun 2015 - 2:27

2.6k

Views

Proof that $\sqrt6 - \sqrt2 - \sqrt3$ is irrational.

Published on 23 Jul 2015 - 3:03

2.4k

Views

Explain the proof that the root of a prime number is an irrational number

Published on 25 Jul 2015 - 13:13

1.9k

Views

When $\cos(\theta) = 1/8$ it's easy to show $\theta$ is an irrational angle. Is it algebraic?

Published on 03 Aug 2015 - 2:27

2.1k

Views

$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.

Published on 04 Aug 2015 - 19:40

208

Views

If $(a_n)$ is increasing and $a_n^{1/c^n}\to\infty$, then $\sum\frac1{a_n}$ is irrational?

Published on 05 Aug 2015 - 12:28

702

Views

Follow-up Question: Proof of Irrationality of $\sqrt{3}$

Published on 10 Aug 2015 - 0:12

4.4k

Views

Prove $\log_7 n$ is either an integer or irrational

Published on 11 Aug 2015 - 16:26

1.6k

Views

Proof of the irrationality of $\sqrt n$, where $n$ is square free

Published on 14 Aug 2015 - 3:29

394

Views

Is the limit $ \lim_{n\to \infty}\left(\sum^{n}_{r=0} \binom{n}{r}\big/{n^{r}(r+3)}\right)$ rational or irrational?

Published on 15 Aug 2015 - 1:15

List Question

Proving $\sqrt2$ is irrational

Proof that irrational coprime square root sums and products are always irrational?

Very simple proof that $\sqrt{2}$ is irrational.

Is $ (((\sqrt{2})^ \sqrt{2})^ \sqrt{2})^{\cdots} $ an irrational number?

What is known about the sum $\sum\frac1{p^p}$ of reciprocals of primes raised to themselves?

Prove or disprove that $\sqrt{2+\frac{1}{n}}$ is irrational for $n \in \mathbb{Z}^+$

Proof that $\sqrt6 - \sqrt2 - \sqrt3$ is irrational.

Explain the proof that the root of a prime number is an irrational number

When $\cos(\theta) = 1/8$ it's easy to show $\theta$ is an irrational angle. Is it algebraic?

$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.

If $(a_n)$ is increasing and $a_n^{1/c^n}\to\infty$, then $\sum\frac1{a_n}$ is irrational?

Follow-up Question: Proof of Irrationality of $\sqrt{3}$

Prove $\log_7 n$ is either an integer or irrational

Proof of the irrationality of $\sqrt n$, where $n$ is square free

Is the limit $ \lim_{n\to \infty}\left(\sum^{n}_{r=0} \binom{n}{r}\big/{n^{r}(r+3)}\right)$ rational or irrational?

Trending Questions

Popular # Hahtags

Popular Questions