How to show $\sqrt{p}$ is irrational
53945
The square root of a prime number is irrational
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
15110
About irrational logarithms
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
100973
Check if this proof about real numbers with an irrational product is correct.
37642
Why is $\pi$ irrational if it is represented as $C/D$?
77129
Density of irrationals
13592
How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?
101028
Irrational numbers and Borel Sets
86988
Cardinality of the Irrationals
6275
How can you prove that the square root of two is irrational?
139755
Prove that $\sqrt{2}+\sqrt{3}+\sqrt{5}$ is irrational. Generalise this.
50555
Approximation of real number to the power of irrational
67031
use contradiction to prove that the square root of $p$ is irrational
75204
Irrationality $\sqrt{2}$ with ideal
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
82361
How do you prove that $p(n \xi)$ for $\xi$ irrational and $p$ a polynomial is uniformly distributed modulo 1?