Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Algebra 2
Lesson 7-2
Multiplying Radical
Expressions
7-2
Bell Ringer - Whiteboards
3 6  2 24
Bell Ringer… Answer
3 6  2 24
 3 6  2 46
 3 6  22 6
3 6 4 6
 1 6
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Daily Learning Target (DLT)
Monday March 18, 2013
“I can understand, apply, and remember to
multiply radical expressions.”
7-2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
If n a and
Then
n
b are real numbers,
n
a  n b  n ab
7-2
.
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply. Simplify if possible.
a.
b.
c.
3•
12
3•
12 =
3
–16 •
3
4
3
–16 •
3
4=
–4 •
16
3 • 12 =
3
36 = 6
–16 • 4 =
3
64 = –4
The property for multiplying radicals does not apply.
–4 is not a real number.
7-2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply. Simplify if possible.
a. 3  12
a. 6
b.
c. 36
d.
b. 3 3  3 9
a. –3
b. 3
c. not possible
d. 27
7-2
c. 4 4  4 4
a. 4
b. –4
c. not possible
d. 2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply. Simplify if possible.
a. 3  12
a. 6
b.
c. 36
d.
b. 3 3  3 9
a. –3
b. 3
c. not possible
d. 27
7-2
c. 4 4  4 4
a. 4
b. –4
c. not possible
d. 2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Simplify each expression. Assume all variables are positive.
50x5
a.
50x5 =
=
52 • 2 • (x2)2 • x
Factor into perfect squares.
52 • (x2)2 •
n
= 5x2
b.
2•x
2x
54n8
3
54n8 =
3
33 • 2 • (n2)3 • n2
=
3
33(n2)3 •
3
2n2
n
b =
n
ab
definition of nth root
3
= 3n2
a•
3
2n2
Factor into perfect cubes.
n
a•
n
b =
n
ab
definition of nth root
7-2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply and simplify
are positive.
3
25xy8 •
3
3
25xy8 • 5x4y3
=
3
53x3(y3)3 • x2y2
=
3
53x3(y3)3 •
= 5xy3
3
25xy8 •
n
5x4y3 =
3
3
a•
3
n
5x4y3 . Assume all variables
b =
n
ab
Factor into perfect cubes.
x2y2
x2y2
n
a•
n
b =
n
ab
definition of nth root
7-2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply and simplify 3 7 x  2
Assume all variables are positive.
3
a.
b.
c. 66x 3 y
d. 42xy
7-2
21x3 y 2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Multiply and simplify 3 7 x  2
Assume all variables are positive.
3
a.
b.
c. 66x 3 y
d. 42xy
Answer: B
7-2
21x3 y 2
Multiplying and Dividing Radical Expressions
ALGEBRA 2 LESSON 7-2
Work on Multiplying Radical Expressions Kuta Worksheet
7-2
Exit Quiz – 5 Points
3 7  2 63