Proof by contradiction that $\sqrt{2}$ is irrational, why assume the fraction is simplified?
122226
Incorrect logic in popular proof of the irrationality of $\sqrt2$?
87596
Is $\sum_{p}\frac{1}{p^{2}}$ irrational?
30478
How to prove that a number is irrational
23752
Proving Irrationality
81428
Why does proof by contradiction not work on Rational numbers but only on Irrational numbers?
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?
21237
$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
31744
Proving that there is an irrational number between any two unequal rational numbers.
147528
Where's the error in this $2=1$ fake proof?
68456
Prove that there exists irrational numbers $x$ and $y$ such that $x + y$ is rational, without using subtraction
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
64885
Irrational and rational sequence proof
10008
Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers