New posts in Irrational Numbers

If $x,y∉ℚ$ and $x^2-y^2∈ℚ_{≠0}$ then $x+y,x-y∉ℚ$?

Can any positive real be approximated as $2^m/3^n$ with $(m,n)$ large enough?

Are some irrational numbers closer to rational numbers than others?

How can $\sqrt{100+\sqrt{6156}}+\sqrt{100-\sqrt{6156}}$ be equal to $18$?

$a + bp^\frac{1}{3} + cp^\frac{2}{3} = 0$

How many unique "$\phi$-nary" expansions are there for $1$?

Prove that the sum $ \sqrt{1001^2 + 1}+\sqrt{1002^2 + 1} \ + ... + \sqrt{2000^2 + 1}$ is irrational

How is the "diagonal proof" valid?

If we didn't have examples of irrational numbers, would we know they exist?

Proof $\sqrt{2}$ irrational using last digits