noun
- numbers that cannot be expressed as a ratio of two integers
Usage: mathematics
Examples
- Pi and the square root of 2 are examples of irrationals.
- The set of irrationals is uncountably infinite.
- Students often struggle to understand why irrationals have non-repeating decimal expansions.
- The discovery of irrationals by ancient Greek mathematicians was revolutionary.
- Irrationals fill the gaps between rational numbers on the number line.
- Calculators can only approximate irrationals with finite decimal places.