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	Representing Simple Arithmetic Symbolically
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	Adding Triangular Numbers
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	Rules for Arithmetic With Approximate Numbers
	Combining Like Radical Terms
	Zero Exponent
	Proportions
	Signs of Products or Quotients of Signed Numbers
	Graphing Technology: Parent and Family Graphs
	Using the
	Solving Nonlinear Equations by Factoring
	Graphing Linear Equations
	Solving Systems of Equations by Graphing
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	Properties of Rational Expressions
	Order of Operations
	Solving Simple Equations
	Powers of Complex Numbers
	Factoring By Grouping
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	Absolute Value Function
	Adding and Subtracting Rational Expressions
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	Product and Quotient of Functions
	Multiplication by 12
	Negative Exponents and Scientific Notation
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	Division Property of Radicals
	Special Products
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	Scientific Notation
	The Distance Formula
	Solving Systems of Linear Equations in Three Variables
	Prime Numbers
	Division and Factoring
	Solving Equations Involving Rational Expressions
	Simplifying Sums and Differences of Square Roots
	Solving Linear Systems of Equations by Substitution
	Powers of a Monomial
	Solving Linear Equations
	Solving Equations with Radicals and Exponents
	Linear Relations and Functions
	Complex Numbers
	Simplifying Complex Fractions
	Writing Algebraic Expressions
	Absolute Value
	Factoring General Polynomials
	The Slope of a Line
	Positive and Negative Slopes
	Solving Linear Inequalities with Fractions
	Solving Linear Inequalities
	Writing Linear Equations in Slope-Intercept Form
	Solving Quadratic Equations Using the Quadratic Formula
	Solving Equations by Factoring
	Factoring Trinomials
	Equations Quadratic in Form
	Negative Integral Exponents
	Solving Equations with Variables on Each Side
	Dividing a Polynomial by a Binomial
	Synthetic Division
	Combining Operations
	Linear Equations
	Powers
	Multiplying Fractions
	Dividing Monomials
	Multiplication Property of Equality
	Percents
	Factoring Trinomials by Grouping
	Dividing Complex Numbers
	Solving Absolute Value Equations
	Dividing Rational Expressions
	Solving Quadratic Equations
	Solving Systems of Equations By Addition (Elimination)
	The Product and Quotient Rules
	Linear Systems of Equations with No Solution
	Solving Quadratic Equations Using the Quadratic Formula
	Solving Quadratic Equations by Completing the Square

Combining Operations

Now we will simplify some radical expressions that involve more than one operation.

Example 1

Simplify:

Solution
Factor each radicand.
Write each radical as the product of radicals.
Simplify square roots of perfect squares.
For each term, multiply the radicals.
Combine like radical terms.
Therefore,

Example 2

Simplify:

Solution
To remove the parentheses, distribute
Multiply by Then factor the radicand.
Simplify the second term:
Combine like radical terms.
Thus,