How to prove that $\sqrt 3$ is an irrational number?
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
4946
Non-existence of irrational numbers?
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
144244
Bound on difference between irrational square root and rational number
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
23752
Proving Irrationality
126427
Proving $\sqrt{2}+\sqrt[3]{3}$ is algebraic.
69264
Is there an irrational number $a$ such that $a^a$ is rational?
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
92226
Prove $\sqrt6$ is irrational
100973
Check if this proof about real numbers with an irrational product is correct.
30478
How to prove that a number is irrational
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
143733
Is this proof that $\sqrt 2$ is irrational correct?