8.2: Irrational Numbers

Last updated

May 19, 2022
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- 8.1: Rational numbers
- 8.3: Continued fractions

This page is a draft and is under active development.

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Definition: Irrational

A number that is not a rational number is called an irrational number.

Theorem $\PageIndex{1}$

$\sqrt{3}$ is irrational.

Proof: Proof by contradiction.

Example $\PageIndex{1}$ :

Prove that $\sqrt{3+\sqrt{6}}$ is irrational.

Solution

Proof by contradiction.

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