bell ringer use the pythagorean theorem to find the length of the hypotenuse

Bell Ringer• Use the Pythagorean Theorem to

find the length of the hypotenuse.

10.1 Simplifying Square Roots

Objectives: The student will be able to:

1. simplify square roots

In the expression , is the radical sign and

64 is the radicand.

1. Find the square root:

8

2. Find the square root:

-0.2

64

64

0.04

11, -11

4. Find the square root:

21

5. Find the square root:

3. Find the square root: 121

441

25

815

9

6.82, -6.82

6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth.

46.5

1 • 1 = 12 • 2 = 43 • 3 = 9

4 • 4 = 165 • 5 = 256 • 6 = 36

49, 64, 81, 100, 121, 144, ...

What numbers are perfect squares?

Simplify

1. .

2. .

3. .

4. .

2 18

72

3 8

6 236 2

Multiply the radicals.

3. Simplify 6 10

60

4 154 152 15

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

Simplify.

Divide the radicals.

108

3

108

3

366

Uh oh…There is a

radical in the denominator!

Whew! It simplified!

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!

Homework

• Page 539-540

#12-20 even, 26-30 even, 36-42 even