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  1. Irrational Numbers - Math is Fun

    Because it's an irrational number. An Irrational Number is a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational. Let's look at what makes a number rational or …

  2. Irrational number - Wikipedia

    In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

  3. Irrational number | Definition, Examples, & Facts | Britannica

    Jan 16, 2026 · Irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among …

  4. Definition, Examples | Rational and Irrational Numbers - Cuemath

    What is the Definition of Irrational Numbers in Math? Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios made up of integers.

  5. What are Irrational Numbers? - GeeksforGeeks

    Jul 23, 2025 · Irrational numbers are real numbers that cannot be expressed as a simple fraction or ratio of two integers. In other words, they cannot be written in the form a/b where a and b are integers and …

  6. Irrational Numbers: Definition & Examples - Statistics by Jim

    Irrational Numbers Definition If someone asks, “What is an irrational number?” you can say: It’s a number that you can’t write as a fraction, and its decimal goes on forever without repeating. In …

  7. What is an irrational number? Definition and examples

    Put simply, an irrational number is any real number (a positive or negative number, or 0) that can’t be written as a fraction. The fancier definition states that an irrational number can’t be expressed as a …

  8. Irrational Numbers - Definition, Examples, and Properties

    The product of any nonzero rational number and an irrational number is an irrational number. Suppose a is a nonzero rational number and b is an irrational number.

  9. Irrational Numbers: Definition and Examples - EDU.COM

    Discover irrational numbers - real numbers that cannot be expressed as simple fractions, featuring non-terminating, non-repeating decimals. Learn key properties, famous examples like π and √2, and …

  10. Irrational Number - from Wolfram MathWorld

    An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q. Irrational numbers have decimal expansions that neither terminate nor become periodic. Every …