irrational number Synonyms

No Synonyms and anytonyms found

irrational number Meaning

Wordnet

irrational number (n)

a real number that cannot be expressed as a rational number

irrational number Sentence Examples

  1. The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction of two integers.
  2. The irrational number Pi is often used to calculate the circumference and area of circles.
  3. Some irrational numbers, like the golden ratio, have been found to have interesting properties and applications in mathematics and nature.
  4. Another example of an irrational number is the Euler-Mascheroni constant, which is related to the study of infinite series.
  5. Irrational numbers are commonly used in advanced mathematics, such as calculus and number theory.
  6. The concept of irrational numbers has been known since ancient times, with mathematicians like Pythagoras and Euclid exploring their properties.
  7. Despite their complex nature, irrational numbers are essential in many fields, including mathematics, physics, and engineering.
  8. Some irrational numbers, like the square root of 3, can be approximated by rational numbers, but they cannot be represented exactly.
  9. The study of irrational numbers has led to significant advancements in mathematical theory and applications.
  10. The existence of irrational numbers has profound implications for our understanding of the nature of numbers and the universe itself.

FAQs About the word irrational number

a real number that cannot be expressed as a rational number

No synonyms found.

No antonyms found.

The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction of two integers.

The irrational number Pi is often used to calculate the circumference and area of circles.

Some irrational numbers, like the golden ratio, have been found to have interesting properties and applications in mathematics and nature.

Another example of an irrational number is the Euler-Mascheroni constant, which is related to the study of infinite series.