Definition:Root of Number/Index

Definition

Let $\sqrt [n] x$ denote the $n$th root of $x$.

The number $n$ is known as the index of the root.

If $n$ is not specified, that is $\sqrt x$ is presented, this means the square root.

Examples

Index of Root/Examples

Also known as

An index of a root is also known as an index of a radcal.

Also see

• Results about roots of numbers can be found here.

Sources

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