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!