Learn what irrational numbers are, how to identify them, and some famous examples. Irrational numbers are real numbers that cannot be written as fractions, such as pi, square root of 2, and e.

What are Irrational Numbers? An irrational number is a real number that cannot be expressed as a ratio of two integers. In simpler terms, it cannot be written in the form p/q, where p and q are integers, and q is not equal to zero. The decimal representation of an irrational number neither terminates nor repeats.

An irrational number is a real number that cannot be expressed as a simple fraction or ratio of two integers. In other words, it is a number that cannot be written as \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \). The decimal expansion of an irrational number is non-repeating and non-terminating.

Irrational numbers are numbers that cannot be expressed as a quotient of integers. Notable examples are π and e.

Irrational numbers are real numbers that cannot be written as a simple fraction or ratio of two integers. Their decimal expansions are non-terminating and non-repeating.

If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

The square root of 2 cannot be written as a simple fraction! And there are many more such numbers, and because they are not rational they are called Irrational.