Square root of a prime is irrational
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
37642
Why is $\pi$ irrational if it is represented as $C/D$?
125267
Prove that $2^{1/2}$ is irrational
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
158066
Prove $2^{1/3}$ is irrational.
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
144244
Bound on difference between irrational square root and rational number
1877
Can an irrational number raised to an irrational power be rational?
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
80304
Roots of $\,ax^2+bx+c\,$ are irrational if $a,b,c$ are odd integers
40009
Show that $e^{\sqrt 2}$ is irrational
77129
Density of irrationals
1190
Square Root of Rational Number $\frac{A}{B}$
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.