Imagine we want to measure the exact diagonal of a square tile. No matter how hard we try, we won't get it as a neat fraction.

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.

Jul 23, 2025 · Irrational numbers are real numbers that cannot be expressed as fractions. Learn about their definition, difference between rational and irrational numbers, properties, and …

Mathematicians call them irrational numbers. In contrast, a rational number is any number that you can write as a fraction, like 3/4 or -5/1, where both the top and bottom are whole numbers …

Oct 6, 2025 · 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 …

Oct 15, 2022 · You cannot write an irrational number as an integer fraction. In mathematics, an irrational number is a number that cannot be expressed as a fraction or ratio of two integers.

Irrational numbers include the square root, cube root, fourth root, and nth root of many numbers. Whenever a number is preceded with a radical sign, the number is called a radical.

What is an Irrational Number? An Irrational Number is a number that 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 …

Feb 13, 2025 · Learn what irrational numbers are, explore their key properties, and see illustrative examples that simplify this fundamental math topic.

The venn diagram below shows examples of all the different types of rational, irrational numbers including integers, whole numbers, repeating decimals and more.