Prove that real numbers and irrational numbers are numerically equivalent.
117366
Is there a simple, constructive, 1-1 mapping between the reals and the irrationals?
98666
Continuity defined for rational and irrational numbers
32
Is $n^{th}$ root of $2$ an irrational number?
116009
Proving that if a set is both open and closed then it is equal to the real numbers
130149
Computablility of a real number
34825
Intuitive explanation for how could there be "more" irrational numbers than rational?
84558
Prove that the square root of a positive integer is either an integer or irrational
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
17022
Definable real numbers
92226
Prove $\sqrt6$ is irrational
101162
Square root of $2$ is irrational
23752
Proving Irrationality
106960
Proof to sequences in real analysis
104548
Geometric proof for irrationality of $\pi$
138446
Proving that there exists an irrational number in between any given real numbers
158066
Prove $2^{1/3}$ is irrational.
95787
Prove or find a counterexample: For all real numbers x and y it holds that x + y is irrational if, and only if, both x and y are irrational.