AI Math SolverAn irrational number cannot be written as a simple fraction — its decimal goes on forever without repeating. Learn the definition, examples like π and √2, and how they differ from rationals.
Solve it with the AI Math SolverA number is irrational if it cannot be expressed as a/b with integer a and b. Its decimal expansion is infinite and non-repeating, defying any fraction representation.
Famous irrationals include π (circles), √2 (the diagonal of a unit square), and e (growth). Together with the rationals they fill out the real number line.
An irrational number cannot be written as a simple fraction — its decimal form never ends and never repeats. π, √2, and e are common examples.
Rational numbers can be written as a ratio of integers and have terminating or repeating decimals. Irrationals cannot — their decimals go on forever without a pattern.