The product of xy of two real numbers x and y is irrational then at least one of the x or y must be irrational.
100973
Check if this proof about real numbers with an irrational product is correct.
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
121353
If $x$ and $y$ are not both $0$ then $ x^2 +xy +y^2> 0$
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
75204
Irrationality $\sqrt{2}$ with ideal
125812
Is sin(x) necessarily irrational where x is rational?
65895
Irrationality proofs not by contradiction
132478
Prove that continuous functions mapping irrationals to rationals must be constant
1877
Can an irrational number raised to an irrational power be rational?
87410
Are there real numbers that are neither rational nor irrational?
138446
Proving that there exists an irrational number in between any given real numbers
37642
Why is $\pi$ irrational if it is represented as $C/D$?
141424
$\log_7 n$ is either an integer or an irrational number
96204
Irrational number $\sqrt2$ proof
101162
Square root of $2$ is irrational
25784
Let $x$ and $y$ be positive integers such that $xy \mid x^2+y^2+1$.
6275
How can you prove that the square root of two is irrational?