Intuitive explanation for how could there be "more" irrational numbers than rational?
3645
Why Are the Reals Uncountable?
60722
Why does Cantor's diagonal argument not work for rational numbers?
22762
How can adding an infinite number of rationals yield an irrational number?
79160
Why do most formulas in physics have integer and rational exponents?
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.
151325
(How to/Can I) show irrational numbers?
20872
Is it possible for a physical object to have an irrational length?
158368
Irrationals: A Group?
30478
How to prove that a number is irrational
150576
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
117366
Is there a simple, constructive, 1-1 mapping between the reals and the irrationals?
19076
If a.b.c,d are rationals and x is irrational number, then prove that $\frac{ax+b}{cx+d}$ is usually a irrational number. When do exceptions occur?
81957
How many roots have a complex number with irrational exponent?
41767
Sequence of rational numbers converging to an arbitrary irrational number $\beta$.
30523
A binary irrational with bits defined by primes
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
44476
Can we ever get an irrational number by dividing two rational numbers?