6.2 Multiplication and Division of Radical Expressions
Product Property of Radicals
Example 1: Simplify.
a.
b.
c.
d.
1
Example 2: Simplify.
a.
b.
c.
2
Example 3: Simplify.
a.
b.
c.
d.
3
Quotient Property of Radicals
Note: Radicals are not simplified until there are no fractions
in the radicand and no radical signs in the denominator.
For example,
and
are not simplified.
In some cases, you will have to rationalize the denominator.
4
Example 4: Simplify.
a.
b.
c.
5
Example 5: Simplify.
a.
b.
c.
6
Example 6: Simplify.
a.
c.
e.
7
b.
f.
d.
8
9
10
11