Fractional/rational form of $0.999...$
286
Is it true that $0.999999999\ldots=1$?
33737
Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
36238
How to evaluate fractional tetrations?
23836
Rigorous proof that $\frac{1}{3} = 0.333\ldots$
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
47596
An infinite series plus a continued fraction by Ramanujan
78008
A conjectured closed form of $\int\limits_0^\infty\frac{x-1}{\sqrt{2^x-1}\ \ln\left(2^x-1\right)}dx$
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
37514
How many integers less than $1000$ can be expressed in the form $\frac{(x + y + z)^2}{xyz}$?
125267
Prove that $2^{1/2}$ is irrational
118161
Proof of dividing fractional expressions
154605
How to compute $\lim\limits_{n\rightarrow \infty} \{(2+\sqrt{3})^{n}\}$, where $\{x\}$ is the fractional part of $x$?
30105
Multiples of an irrational number forming a dense subset
4946
Non-existence of irrational numbers?
50930
Proving the continued fraction representation of $\sqrt{2}$
26080
Building a continued fraction