Simplify radical expressions

Today you will:
Simplify radical expressions
11.6 Simplifying Radicals
Fill in the chart below.
ab
if a = 4 and
b=9
if a = 64 and
b = 100
So we can conclude:
a
b
Fill in the chart.
a
b
a
b
if a = 4 and
b = 49
if a = 16 and
b = 64
So we can conclude:
A radical expression is in simplest form if and only if:
1. The radicand has no perfect square factors other than one.
2. There are no fractions in the radicand
3. The denominator does not contain a radical expression.
Simplify the following:
50
32
Simplify.
22
8
147
Simplify.
7
9
48
8
32
50
Simplify.
x2
x3
x4
x5
x6
Simplify.
(x - 2) 2
x2 + 8x + 16
x 2 - 6x + 9
Simplify.
( 2 3)
2
30
6
12 60x3
3
3b
4
27b