New posts in Algebraic Numbers

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

Why are algebraic numbers important and worth defining?

$\sqrt[3]{3} + \sqrt[3]{9}$ is algebraic over $\mathbb{Q}$

Strictly increasing function from reals to reals which is never an algebraic number

Is there a general formula for $\sin( {p \over q} \pi)$?

Prove that the set of all algebraic numbers is countable

What if $\pi$ was an algebraic number? (significance of algebraic numbers)