10/29/12 unit 2triangles right triangles i can….. simplify radical expressions
TRANSCRIPT
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10/29/12Unit 2Triangles
Right Triangles
I can…..
simplify radical expressions.
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In the expression , is the radical sign and
64 is the radicand.
1. Find the square root:8
64
64
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2. Find the square root:
11, -113. Find the square root:
214. Find the square root:
121
441
25
815
9
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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
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Perfect Squares1
4
916
253649
64
81
100121
144169196
225
256
324
400…
289
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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
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Simplify
1. .
2. .
3. .
4. .
2 18
72
3 8
6 236 2
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1. Simplify
Find a perfect square that goes into 147.
147
147 349 147 349
147 7 3
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2. Simplify
Find a perfect square that goes into 605.
605
121 5
121 5
11 5
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6. Simplify Multiply the radicals.
6 10
60
4 154 152 15
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7. Simplify
Multiply the coefficients and radicals.
2 14 3 21
6 294
6 49 66 649
42 6
6 67
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8. Simplify.
Divide the radicals.
108
3
108
3
366
Uh oh…There is a
radical in the denominator!
Whew! It simplified!
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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!
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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!