# Algebra 2 Vocab: Chapter 7

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### Nth Root

For any real numbers A and B, and any positive integer N, if A'N = B, then A is an Nth root of B.

The number under the radical sign.

### Index

Gives the degree of the root.

### Principal Root

When a number has two real roots, the positive root is called the ______.

### Rationalize the denominator

Rewrite an expression so there are no radicals in any denominator and no denominators in any radical.

Radical expressions that have the same index and the same radicand.

### Rational Exponent

Form of a radical that always indicates the principal root.

An equation that has a variable on a radicand or has a variable with a rational exponent.

### Composite Function

The output for the second function becomes the input for the second function. When you combine two functions, you form a _______.

### Inverse Relation

If a relation maps element A of it's domain to element B of its range, the ______ "undoes" the relation and maps B back to A. If (a,b) is an ordered pair of a relation, then (b,a) is an ordered pair of it's inverse.

### Inverse Functions

If F'1 and F'-1 are functions, they are called ______. For inverse functions, F'-1(F(x)) = x and F(F'-1(x)) = x.

A radical equation defines a radical function.

Example:

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