A radical expression is essentially any algebraic expression that contains a radical, also known as a root. Examples of radical expressions are:

$$\sqrt{x}+1$$	$$\sqrt{x^2-1}$$	$$\sqrt{2}-\sqrt{3}$$	$$\sqrt{x}+\frac{1}{\sqrt{x}}$$
$$(5x-\sqrt{x})^2$$	$$\frac{2}{\sqrt{2}-\sqrt{3}}$$	$$\frac{\sqrt{x}}{\sqrt{x}-x}$$	$$(\sqrt{2}-\sqrt{5})(\sqrt{2}+\sqrt{5})$$

Over the next few lessons we will be discussing these expressions, and how to carry out arithmetic with them! We will start specifically with a discussion on what radicals mean, how they can be written as exponents, and how cancellation of powers works.

Lesson Content

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Radical Cancellation and Fractional Power Representation

The Multiplication Rule for Radicals and Factor Trees

Simplifying Radical Expressions Involving Multiplication and Division

Adding, Subtracting, and FOILing with Radical Expressions

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