Are the square roots of all non-perfect squares irrational?
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
30622
Proving $\sqrt 3$ is irrational.
32
Is $n^{th}$ root of $2$ an irrational number?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
87596
Is $\sum_{p}\frac{1}{p^{2}}$ irrational?
107781
Detecting perfect squares faster than by extracting square root
34710
Cardinality of Irrational Numbers
102729
Is there an equidissection of a unit square involving irrational coordinates?
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
86603
Infinite square-rooting
147777
If $P$ and $Q$ are distinct primes, how to prove that $\sqrt{PQ}$ is irrational?
96204
Irrational number $\sqrt2$ proof
30478
How to prove that a number is irrational
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
125267
Prove that $2^{1/2}$ is irrational
7500
$\arctan$ of a square root as a rational multiple of $\pi$
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction