7.2a Multiplying and Dividing Radical Expressions
The ability to see beauty is the beginning of our moral sensibility. What we believe is beautiful we will not wantonly destroy.

Multiplying Radical Expressions
n a
n b
n a
 n b
 n ab
Multiply and simplify if possible.
Ex1) 6

12 Ex2)
3   3
8 Ex3) 4 4

Simplifying Radical Expressions
Simplify.
Ex4) 50 x
5 3
Ex5) 54 n
8

Multiplying Radical Expressions
Multiply and simplify.
Ex6) 8 y
5 
40 y
2
Ex7) 7 x
5 
42 xy
9

Multiplying Radical Expressions
Multiply and simplify.
Ex8) 3 5 y
3 
2 50 y
4
Ex9) 3 7 x
3 
2 21
3 2 x y

7.2a Multiplying and Dividing Radical Expressions
HW 7.2: 1-21 odd, 37-45 odd
The ability to see beauty is the beginning of our moral sensibility. What we believe is beautiful we will not wantonly destroy.

7.2b Multiplying and Dividing Radical Expressions
The ability to see beauty is the beginning of our moral sensibility. What we believe is beautiful we will not wantonly destroy.

Dividing Radical Expressions
If n a and n b are real numbers and b

0, n then n a b
 n a b
.
Examples: Divide and simplify.
Ex10)
3 
81
3
3
Ex11)
3
192 x
8
3 3 x

Dividing Radical Expressions
Divide and simplify.
Ex12)
3
162 x
5
3
3 x
2
Ex13)
4
1024 x
15
4 4 x

Rationalizing the Denominator
Rationalize the denominator: Rewriting an expression so there are no radicals in the denominator.
5 x
5
Ex14)
2
Ex15)
3
2 x y
3 25 y
3
Ex16)
3 20 y
4

7.2b Multiplying and Dividing Radical Expressions
HW 7.2b: 23-33 odd, 47-53 odd, 76-78 all
The ability to see beauty is the beginning of our moral sensibility. What we believe is beautiful we will not wantonly destroy.