**Main menu**

_{[ Click categories to expand ]}

**Other categories**

For tests only

**Also see:**

**Content Guidelines**

**Registration**

**How to edit pages**

**Faq**

**News**

**Contacts**

**Legal**

Please register and/or login to edit and create pages

- Create a new article
- Show a random article

or use the main menu below to navigate

**Main menu**

_{[ Click categories to expand ]}

**Other categories**

For tests only

**Also see:**

**Content Guidelines**

**Registration**

**How to edit pages**

**Faq**

**News**

**Contacts**

**Legal**

start:mathematics:irrational_numbers

This item is one of a special case - **Known Unknowables**

An irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction.

Examples are π, √2 etc.

For many irrational numbers, relatively simple mathematical proofs exist which show that it's impossible to ever arrive at finite solution.

(√2 was proved to be an irrational number by Greek mathematicians more than 2000 yrs ago).

DOKUWIKI IMPLEMENTATION DESIGN BY UNIV.ORG.UK