Unit 6 Review- Radical Functions

Front

Define a radical function.

Back

A radical function is a function that contains a variable within a radical (root) symbol, such as @@f(x) = oot{n}{x}@@ where n is a positive integer.

Front

What is the cube root of a number?

Back

Front

Simplify @@ oot{3}{-3a^7b^4} imes oot{3}{36a^6b^2}@@.

Back

The simplified form is @@-3a^4b^2 oot{3}{4a}@@.

Front

What is the sum of @@3 oot{3}{40} + 3 oot{3}{40}@@?

Back

The sum is @@12 oot{3}{5}@@.

Front

Convert @@ oot{3}{x^6}@@ to a rational exponent.

Back

Front

Convert @@ oot{x^{11}}@@ to a rational exponent.

Back

Front

What is the difference between @@ oot{3}{16} - oot{3}{250}@@?

Back

The difference is @@-3 oot{3}{2}@@.

Front

Define a rational exponent.

Back

Front

What is the general form of a radical function?

Back

The general form is @@f(x) = a oot{n}{(bx + c)} + d@@ where a, b, c, and d are constants.

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms, ensuring the radicands (the numbers inside the radicals) are the same.