9.1: Objectives
After completing this chapter, you should
Square Root Expressions
- understand the concept of square root
- be able to distinguish between the principal and secondary square roots of a number
- be able to relate square roots and meaningful expressions and to simplify a square root expression
Simplifying Square Root Expressions
- be able to identify a perfect square
- be familiar with the product and quotient properties of square roots
- be able to simplify square roots involving and not involving fractions
Multiplication of Square Root Expressions
- be able to use the product property of square roots to multiply square roots
Division of Square Root Expressions
- be able to use the division property of square roots, the method of rationalizing the denominator, and conjugates to divide square roots
Addition and Subtraction of Square Root Expressions
- understand the process used in adding and subtracting square roots
- be able to add and subtract square roote
Square Root Equations with Applications
- be able to recognize square root equations and extraneous solutions
- be able to solve square root equations