Simplifying Radicals
Create a factor tree and take
out the largest perfect square
1= 1
2= 4
3= 9
4 = 16
5 = 25
6 = 36
7 = 49
8 = 64
9 = 81
10 = 100
A radical expression is simplified when:
• There is no perfect square factors under the
radical symbol (besides 1)
• The number under the radical symbol does not
contain a fraction
• The denominator does not contain a radical
expression
a b =
Multiplication: Division: ab =
a b
a
b
When you have a radical
b
expression in the denominator: a
b
a
a
=
a
ab
a
11 =
12 =
13 =
14 =
15 =
121
144
169
196
225
Preparing for 7-4
Simplifying Radicals
*simplest radical form*
√24
4√3 2√12
√18
√2
√3
√8
√60
√108
Attachments
The Golden Ratio.pptx