10/29/12 Unit 2Triangles Right Triangles I can….. simplify radical expressions.
-
Upload
shawn-anthony -
Category
Documents
-
view
227 -
download
1
Transcript of 10/29/12 Unit 2Triangles Right Triangles I can….. simplify radical expressions.
10/29/12Unit 2Triangles
Right Triangles
I can…..
simplify radical expressions.
In the expression , is the radical sign and
64 is the radicand.
1. Find the square root:8
64
64
2. Find the square root:
11, -113. Find the square root:
214. Find the square root:
121
441
25
815
9
How do you know when a radical problem is done?
1. No radicals can be simplified.Example:
2. There are no fractions in the radical.Example:
3. There are no radicals in the denominator.Example:
8 1
4
1
5
Perfect Squares1
4
916
253649
64
81
100121
144169196
225
256
324
400…
289
8
20
32
75
40
=
= =
=
=
2*4
5*4
2*16
3*25
10*4
=
=
=
=
=
22
52
24
35
102
Perfect Square Factor * Other Factor
LE
AV
E I
N R
AD
ICA
L F
OR
M
Simplify
1. .
2. .
3. .
4. .
2 18
72
3 8
6 236 2
1. Simplify
Find a perfect square that goes into 147.
147
147 349 147 349
147 7 3
2. Simplify
Find a perfect square that goes into 605.
605
121 5
121 5
11 5
6. Simplify Multiply the radicals.
6 10
60
4 154 152 15
7. Simplify
Multiply the coefficients and radicals.
2 14 3 21
6 294
6 49 66 649
42 6
6 67
8. Simplify.
Divide the radicals.
108
3
108
3
366
Uh oh…There is a
radical in the denominator!
Whew! It simplified!
9. Simplify
8 2
2 8
4 1
4
4
2
2
Uh oh…Another
radical in the denominator!
Whew! It simplified again! I hope they all are like this!
10. Simplify
5
7
5
7
75
7 7
35
49 35
7
Since the fraction doesn’t reduce, split the radical up.
Uh oh…There is a fraction in the radical!
How do I get rid of the radical in
the denominator?
Multiply by the “fancy one” to make the denominator a
perfect square!