ALGEBRA REVIEW
Simplifying Radicals
Perfect Squares
4 
9
16
25
36
49
64
81
100
121
144
169
196
225
What is a perfect square?
 An
integer that can be written as the square of some
other integer
 Example 9 = 3 * 3
 What are some other perfect squares?
Square Roots

What is the square root of 121 (

Sometimes square roots do not work out nicely:
24

What do we do then?
 We
simplify the square root
121)?
Ex. 1 Simplify
4
9
16
25
36
49
64
81
100
121
144
169
196
225
24
Ex. 2 Simplify
4
9
16
25
36
49
64
81
100
121
144
169
196
225
50
Ex. 3 Simplify
4
9
16
25
36
49
64
81
100
121
144
169
196
225
2 27
Ex. 4 Adding and Subtracting
4
9
16
25
36
49
64
81
100
121
144
169
196
225
a)2 3 7 3
b)5 7 9 7
Ex.5 Adding and Subtracting
4
9
16
25
36
49
64
81
100
121
144
169
196
225
a ) 50
b) 125
18
80
Ex. 6 Multiplying
4
9
16
25
36
49
64
81
100
121
144
169
196
225
a ) 13
26
b) 18
72
Ex. 7 Multiplying
4
9
16
25
36
49
64
81
100
121
144
169
196
225
4 2
2