Problem proving that there exists an irrational number between any two real numbers
31744
Proving that there is an irrational number between any two unequal rational numbers.
4946
Non-existence of irrational numbers?
91101
Proving $\sqrt2$ is irrational
122226
Incorrect logic in popular proof of the irrationality of $\sqrt2$?
32848
Prove that the product of a non-zero rational and irrational number is irrational.
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
65895
Irrationality proofs not by contradiction
131634
Prove the irrationality of $0.235711131719...$
4381
Proof that the set of irrational numbers is dense in reals
50555
Approximation of real number to the power of irrational
24706
Is there a rational number between any two irrationals?
13656
Prove existence of a real root.
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
30105
Multiples of an irrational number forming a dense subset
22762
How can adding an infinite number of rationals yield an irrational number?
10008
Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational