Are there many more irrational numbers than rational?
18360
Proof that the irrational numbers are uncountable
22408
Jutifying: irrational + rational = irrational
22762
How can adding an infinite number of rationals yield an irrational number?
68456
Prove that there exists irrational numbers $x$ and $y$ such that $x + y$ is rational, without using subtraction
86893
Show that it is impossible to list the rational numbers in increasing order
153976
Do complex quantities and irrational numbers exist in nature?
158368
Irrationals: A Group?
3790
Rational + irrational = always irrational?
28230
What bizarrities lurk within the decimal expansion of an irrational number?
138162
Do Irrationals form a group?
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
148035
Is it possible for a sequence of rational numbers to have a non rational limit?
65300
Why is $\pi$ irrational?
50555
Approximation of real number to the power of irrational
65895
Irrationality proofs not by contradiction
109953
How to prove that $\sqrt 3$ is an irrational number?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?