Irrational (Noun)
Meaning
A real number that cannot be expressed as a rational number.
Classification
Nouns denoting quantities and units of measure.
Examples
- The square root of 2 is an irrational number, meaning it cannot be written as a finite decimal or fraction.
- The mathematical constant pi is an irrational number that represents the ratio of a circle's circumference to its diameter.
- Some mathematicians study properties of irrational numbers to understand their unique behavior.
- A classic example of an irrational number is the cube root of 2, which has a seemingly endless decimal expansion.
- Many real numbers, such as the square root of 3, are classified as irrational numbers due to their non-repeating and non-terminating decimal expansions.