Quadratic irrational

In mathematics, a quadratic irrational number (also quadratic irrational number ) is an irrational algebraic number, which arises as a solution of a quadratic equation with rational coefficients. Using the solution formula of the quadratic equation you can see that each square irrational number can be represented in the form of three integers. It is not a square number. For fixed and variable elements and a quadratic number field yield.

Square irrational numbers are particularly interesting in terms of continued fractions, as they and only they, have, periodic, continuous continued fractions.

Example:

• Number Theory