While proving $\sqrt2$ irrational how did they guess the below expression for $q$
4552
Choice of $q$ in Baby Rudin's Example 1.1
33184
Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends
121544
Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$
111094
Help with proving that $\pi$ is irrational
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
48086
Why is this series of square root of twos equal $\pi$?
37529
If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational
100995
For what $x$ : $2\sqrt{x}+\dfrac{1}{\sqrt{x+1}} \leq 2\sqrt{x+1}$
67031
use contradiction to prove that the square root of $p$ is irrational
10111
Prove or disprove that Q[√2] is a field
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational
84558
Prove that the square root of a positive integer is either an integer or irrational
62485
How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
67605
Different proof that $\sqrt{2}$ is irrational
49750
Proof of the square root inequality $2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1}$