PPadua-Douglas,E. CNM 2012-01-09 9812
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Transcript PPadua-Douglas,E. CNM 2012-01-09 9812
January 10, 2012
At the end of today, you will be able to simplify
radical expressions by using multiplication and
addition.
Warm-up: Simplify.
1.
2
x 4x 4
3.
5. t 3t 20
2
t 2
3
8a3b9
4. (32)
16a2b2
5
2.
3
5
QUIZ 5.2 TODAY!
HW 5.6: Pg. 254
#15-23, 35-38 all
Correct HW 5.7 #1-20
1. 6 3
2. 5 8
3. 3 122 or
4. s5 s4
1
5. 512
1
6. 37 3
3
7. 15 4
12
3
2
8. 6
9.
10.
11.
12.
13.
14.
1
3
1
3
2
3
1
2 3
x y or (6xy )
2
3
1/3
1/2
64
81
15. 729
16. 8/27
17. c3
18. m2
3
19. q 2
20. p
p
1
5
Properties of Radicals
• Product Property:
Example:
8 4 2
• Quotient
Property:
n
Example:
3
ab n a n b
n
a na
n
b
b
27 3 27
3
8
8
Simplifying Radicals that aren’t perfect
“Ms. PD has another way to
simplify radicals using prime
numbers, ask her!”
A prime number is a
natural number greater
than 1 that is only divisible
by 1 and itself.
Example 1: Simplify:
Drake: “Think of
two numbers, one
of them a square#,
multiplied to give
you 40.”
1. Rewrite as two
radicals (one of
them a square)
40
4 10
2 10
2 10
More simplifying radicals that aren’t
perfect…
1a. 27
3 3
2.
16p q
8 7
4 p4
q3 q
3.
3 4
40a b
2ab 10a
2
b.
C.
48
4 3
8
2
4p q
7
2
3
16
2 3 2
For variables, divide the
power by the index. If
there is a remainder, it
stays in the radical sign.
Like Radical Expressions
You can add and subtract radicals if they have the
same number under the radical.
For example: 3 5 6 5 5 10 5
Simplify:
First, simplify
the radicals
to get like
radicals.
2 12 2 27 2 48
2 2 3 2 3 3 4 3
4 3 6 3 4 3
2 3