An irrational number isa real number that cannot be expressed as the ratio of two integers.Learn about the history, properties, examples and applications of irrational numbers from this Wikipedia article. What is anIrrationalNumber? AnIrrationalNumberis anumberthat goes on forever and never repeats. You can’t write it as a simple fraction like 1/2 or 3/4. It’s wild, endless, and full of mystery! The most famousirrationalnumberis π (pi). You’ve probably heard of it in circles: 12 ÷ 3 = 4 cookies each! Rational and Irrational numbersboth are realnumbersbut different with respect to their properties. A rationalnumberis the one which can be represented in the form of P/Q where P and Q are integers and Q ≠ 0. But anirrationalnumbercannot be written in the form of simple fractions. ⅔ is an example of a rationalnumberwhereas √2 is anirrationalnumber. Let us learn more here with ... Oct 6, 2025 ·Irrational number, any realnumberthat cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is nonumberamong integers and fractions that equals 2.