Proving Natural Numbers as Irrational
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
31744
Proving that there is an irrational number between any two unequal rational numbers.
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
107105
Is an irrational number odd or even?
32
Is $n^{th}$ root of $2$ an irrational number?
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
86988
Cardinality of the Irrationals
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
32848
Prove that the product of a non-zero rational and irrational number is irrational.
121469
Proof of observations on natural numbers being expressed as differences of squares.
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
63804
Proof that every repeating decimal is rational
141424
$\log_7 n$ is either an integer or an irrational number
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
101028
Irrational numbers and Borel Sets
122226
Incorrect logic in popular proof of the irrationality of $\sqrt2$?