Definition:Irreducible Radical

Definition

An irreducible radical is a radical that cannot be written in a form that does not include a radical.

Examples

Example: $\sqrt 3$

$\sqrt 3$ is an example of an irreducible radical.

Example: $\sqrt 7$

$\sqrt 7$ is an example of an irreducible radical.

Also see

• Definition:Reducible Radical

• Results about irreducible radicals can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): irreducible radical
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): irreducible radical