History of Mathematics
Algebraic numbers are numbers that are roots of non-zero polynomial equations with integer coefficients. They include rational numbers, which are also algebraic, as well as certain irrational numbers, such as the square root of 2. Understanding algebraic numbers is crucial for exploring classical construction problems and impossibility proofs, as these concepts often involve determining whether specific constructions can be achieved using only a compass and straightedge.
congrats on reading the definition of algebraic numbers. now let's actually learn it.