# Introduction to Radicals and Rational Expressions

### Learning Objectives

By the end of this section, you will be able to:- Evaluate square roots.
- Use the product rule to simplify square roots.
- Use the quotient rule to simplify square roots.
- Add and subtract square roots.
- Rationalize denominators.
- Use rational roots.

**Figure 1**

[latex]\begin{array}{ccc}\hfill {a}^{2}+{b}^{2}& =& {c}^{2}\hfill \\ \hfill {5}^{2}+{12}^{2}& =& {c}^{2}\hfill \\ \hfill 169& =& {c}^{2}\hfill \end{array}[/latex]

Now, we need to find out the length that, when squared, is 169, to determine which ladder to choose. In other words, we need to find a square root. In this section, we will investigate methods of finding solutions to problems such as this one.## Licenses & Attributions

### CC licensed content, Specific attribution

- College Algebra.
**Provided by:**OpenStax**Authored by:**OpenStax College Algebra.**Located at:**https://cnx.org/contents/[email protected]:1/Preface.**License:**CC BY: Attribution.