New posts in rationality-testing

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

elementary-number-theory rationality-testing

Understanding the proof of "$\sqrt{2}$ is irrational" by contradiction.

elementary-number-theory logic proof-verification radicals rationality-testing

What are the explanations for certain steps in these proofs for the irrationality/rationality of certain numbers?

analysis rationality-testing

$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational

algebra-precalculus solution-verification radicals rationality-testing

Is $\frac{1}{2^{2^{0}}}+\frac{1}{2^{2^{1}}}+\frac{1}{2^{2^{2}}}+\frac{1}{2^{2^{3}}}+....$ irrational?

sequences-and-series number-theory rationality-testing

Irrationality or Rationality of p+q given that pq=1

elementary-number-theory examples-counterexamples rationality-testing

Is my proof for the sum of two square roots being irrational correct? [duplicate]

number-theory discrete-mathematics irrational-numbers rationality-testing faq

Novel (?) proof of the irrationality of $\sqrt3$ [duplicate]

radicals rationality-testing

Is $\sum_{n \ge 1}{\frac{p_n}{n!}}$ irrational?

sequences-and-series number-theory prime-numbers irrational-numbers rationality-testing

Prove that 2.101001000100001... is an irrational number.

irrational-numbers decimal-expansion rationality-testing

Are there any irrational numbers that have a difference of a rational number?

number-theory irrational-numbers transcendental-numbers rationality-testing

How does one prove that $\zeta(3)$ is irrational?

recurrence-relations riemann-zeta rationality-testing

Prove that square root of 2 is irrational using the principle of Mathematical Induction

induction rationality-testing

Irrationality of $\sqrt[n]2$ [duplicate]

abstract-algebra elementary-number-theory radicals rationality-testing

Proof that at most one of $e\pi$ and $e+\pi$ can be rational

proof-verification exponential-function pi transcendental-numbers rationality-testing

Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational [duplicate]

elementary-number-theory radicals irrational-numbers rationality-testing

Prove the series $\sum_{n=1}^{\infty}\frac{1}{{5^n}^!}$ converges to an irrational number

calculus sequences-and-series recreational-mathematics rationality-testing

Proof that $\sin10^\circ$ is irrational

trigonometry rationality-testing

Prove that $\sqrt{3}+ \sqrt{5}+ \sqrt{7}$ is irrational [duplicate]

radicals rationality-testing

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

number-theory proof-verification alternative-proof radicals rationality-testing