A rational number can be written exactly in the form \(\frac{a}{b}\), where 𝑎 and 𝑏 are integers, while an irrational number cannot.

Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — ...

Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...