Prove irrational number, Rudin's first example in Principles of Mathematical Analysis
4552
Choice of $q$ in Baby Rudin's Example 1.1
150335
Rudin against Pugh for Textbook for First Course in Real Analysis
70418
Theorem 3.2 Rudin -- How is 0 concluded?
4381
Proof that the set of irrational numbers is dense in reals
67031
use contradiction to prove that the square root of $p$ is irrational
92226
Prove $\sqrt6$ is irrational
4946
Non-existence of irrational numbers?
72719
Baby Rudin Theorem 1.20 (b) Proof
15110
About irrational logarithms
33976
Prove that $\lim_{n \to \infty} \sqrt[n]{a} = 1$ using only the basic properties of sequences
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
81428
Why does proof by contradiction not work on Rational numbers but only on Irrational numbers?
31867
Elementary proof that the limit of $\sum_{i=1}^{\infty} \frac{1}{\operatorname{lcm}(1,2,...,i)}$ is irrational
13550
For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
158066
Prove $2^{1/3}$ is irrational.
96204
Irrational number $\sqrt2$ proof
132478
Prove that continuous functions mapping irrationals to rationals must be constant