10/29/12
Unit 2Triangles
Right Triangles
I can…..
simplify radical expressions.
In the expression 64 ,
is the radical sign and
64 is the radicand.
1. Find the square root: 64
8
2. Find the square root: 121
11, -11
3. Find the square root: 441
21
25
4. Find the square root: 81
5

9
How do you know when a
radical problem is done?
1.
2.
No radicals can be simplified.
Example:
8
There are no fractions in the radical. 1
Example:
3.
4
There are no radicals in the denominator.
Example:
1
5
Perfect Squares
64
225
4
81
256
9
16
100
121
289
25
36
49
144
169
196
400…
1
324
LEAVE IN RADICAL FORM
Perfect Square Factor * Other Factor
8
=
4*2 =
2 2
20
=
4*5
=
2 5
32
=
16 * 2 =
4 2
75
=
25 * 3 =
5 3
40
=
4 *10 = 2 10
Simplify
1. 2 18
.
2.
3 8
3. 6 2
4. 36 2
.
.
.
72
1. Simplify
147
Find a perfect square that goes into
147.
147  49 3
147  49 3
147  7 3
2. Simplify 605
Find a perfect square that goes into
605.
121 5
121
11 5
5
6. Simplify 6  10
Multiply the radicals.
60
4 15
4
15
2 15
7. Simplify 2 14  3 21
Multiply the coefficients and radicals.
6 294
6 49 6
6
49
67
6
6
42 6
8. Simplify.
Whew! It
simplified!
108
3
Divide the radicals.
108
3
36
6
Uh oh…
There is a
radical in the
denominator!
9.
8
2
Simplify
2 8
4 1
4
Whew! It simplified
again! I hope they
all are like this!
4
2
2
Uh oh…
Another
radical in the
denominator!
10. Simplify
5
7
Uh oh…
There is a
fraction in
the radical!
Since the fraction doesn’t reduce, split the radical up.
5
7
5

7
How do I get rid
of the radical in
the denominator?
7
7
35

49
Multiply by the “fancy one”
to make the denominator a
perfect square!
35

7