Simplifying Radical Expressions notes

RADICAL REVIEW
In the next chapters, work will be done with radicals, such as
or
.
A radical is in simplest form when:
(1)
No perfect square factor, other than one, is
examples:
(2)
18
No fraction is
examples:
(3)
(a)
the radical sign.
the radical sign.
(a)
3
5
(b)
No fraction has a radical in the
examples:
98
(b)
(a)
18
2
16
5
.
(b)
3 2
5 3
Radicals must always be expressed in simplest form!
Examples:
Simplify.
(1)
60
(2)
50
(3)
48
(4)
600
(5)
3 80
(6)
5 24
(7)
3 • 27
(8)
20 • 2
(9)
8 2 •3 6
(11)
2
7
(12)
10
3 30
(10)
12
3
(13)
x + 12 = 13
2
2
2
(14)
(
x2 + 4 3
Assignment: Algebra Review, page 280: 1-29 odd #’s
Written Exercises, page 288: 1-15 odd #’s
Prepare for a quiz on Radicals
)
2
= 82