Root of two
The root of two is an algebraic number because it is a zero of a polynomial.
Explanation
You can factorize the equation x2 − 2 = 0 as (x − √2)(x + √2) = 0. The solutions are the irrational numbers x1,2 = ±√2.
The root of two is an algebraic number because it is a zero of a polynomial.
You can factorize the equation x2 − 2 = 0 as (x − √2)(x + √2) = 0. The solutions are the irrational numbers x1,2 = ±√2.