WarmUp

1
Warm-Up
5 minutes
Evaluate each expression.
1)
2)
Simplify each expression.
3)
4)
6)
5)
2
8.7.1 Simplifying Radical Expressions

• Objectives
• Add, subtract, multiply, divide, and simplify
  radical expressions
• Rationalize a denominator

3
Properties of Radicals
Graph .
What function does the graph represent?
4
Properties of Radicals
What do you think the graph of will
look like?
5
Properties of Radicals
Graph .
What function does the graph represent?
6
Properties of Radicals
What do you think the graph of will
look like?
7
Properties of Radicals
For any real number a,
8
Example 1
Simplify the expression .
9
Example 2
Simplify the expression .
10
Practice
Simplify each expression.
1)
2)
11
Example 3
Simplify the expression .
Assume that the value of each variable is
positive.
12
Example 4
Simplify the expression. Assume that the value
of each variable is positive.
13
Practice
Simplify each expression. Assume that the value
of each variable is positive.
1)
2)
14
Homework
p.533 17,19,25,27,29-41 odds
15
Warm-Up
5 minutes
Simplify each expression.
1)
2)
16
8.7.2 Simplifying Radical Expressions

• Objectives
• Add, subtract, multiply, divide, and simplify
  radical expressions
• Rationalize a denominator

17
Example 1
Simplify the sum .
18
Example 2
Simplify the difference
.
19
Example 3
Simplify the product .
20
Practice
Simplify.
1)
2)
21
Example 4
Write the expression with a rational
denominator.
22
Example 5
Write the expression with a rational
denominator.
23
Homework
p.534 47-59 odds,75,79,83,85,87