$\sqrt {3} $ is irrational (proof verification)
96204
Irrational number $\sqrt2$ proof
31744
Proving that there is an irrational number between any two unequal rational numbers.
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
153043
Show that $\sqrt{4+2\sqrt{3}}-\sqrt{3}$ is rational using the rational zeros theorem
128575
Elementary proof that $3$ is a primitive root of a Fermat prime?
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
139117
Proving $\lim_{x\to9}\sqrt x=3$ using Cauchy's definition
104548
Geometric proof for irrationality of $\pi$
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
122226
Incorrect logic in popular proof of the irrationality of $\sqrt2$?
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?
64885
Irrational and rational sequence proof
23836
Rigorous proof that $\frac{1}{3} = 0.333\ldots$
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?