all prime numbers have irrational square roots
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
75204
Irrationality $\sqrt{2}$ with ideal
20315
$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
67605
Different proof that $\sqrt{2}$ is irrational
132115
Verify my proof of the irrationality of $\sqrt{6}$.
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
87596
Is $\sum_{p}\frac{1}{p^{2}}$ irrational?
9787
Primitive roots modulo primes congruent to n!
102075
A function continuous on all irrational points
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
39170
Existence of square root
70315
Process to show that $\sqrt 2+\sqrt[3] 3$ is irrational
6869
The square roots of different primes are linearly independent over the field of rationals
30411
The closure of the irrational numbers on $\mathbb{R}$
126199
Proof of $\pi$ not being a quadratic irrational number.