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Simplify Radicals
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Slide 1

DO NOW: SOLVE THE INEQUALITY BY FOLLOWING THE STEPS WE HAVE LEARNED OVER THE LAST TWO DAYS. THEN WE WILL GRAPH TOGETHER ON THE CALCULATOR;

DO NOW: SOLVE THE INEQUALITY BY FOLLOWING THE STEPS WE HAVE LEARNED OVER THE LAST TWO DAYS. THEN WE WILL GRAPH TOGETHER ON THE CALCULATOR;

Slide 2

How do we simplify radicals?

How do we simplify radicals?

1. simplify square roots, and

2. simplify radical expressions.

Slide 3

In the expression , is the radical sign and 64 is the radicand.

In the expression , is the radical sign and 64 is the radicand.

If x2 = y then x is a square root of y.

1. Find the square root:

8

2. Find the square root:

-0.2

Slide 4

11, -11

11, -11

4. Find the square root:

21

5. Find the square root:

3. Find the square root:

Slide 5

6.82, -6.82

6.82, -6.82

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

Slide 6

1  1 = 1

1 1 = 1

2 2 = 4

3 3 = 9

4 4 = 16

5 5 = 25

6 6 = 36

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

What numbers are perfect squares?

Slide 7

1. Simplify

1. Simplify

Find a perfect square that goes into 147.

Slide 8

2. Simplify

2. Simplify

Find a perfect square that goes into 605.

Slide 9

Simplify

Simplify

.

.

.

.

Slide 10

Look at these examples and try to find the pattern

Look at these examples and try to find the pattern

How do you simplify variables in the radical?

What is the answer to ?

As a general rule, divide the exponent by two. The remainder stays in the radical.

Slide 11

Find a perfect square that goes into 49.

Find a perfect square that goes into 49.

4. Simplify

5. Simplify

Slide 12

Simplify

Simplify

3x6

3x18

9x6

9x18

Slide 13

What are Perfect Cubes?

What are Perfect Cubes?

13 = 1 x 1 x 1 = 1

23 = 2 x 2 x 2 = 8

33 = 3 x 3 x 3 = 27

43 = 4 x 4 x 4 = 64

53 = 5 x 5 x 5 = 125

and so on and on and on

Slide 14

2

2

2

2 x 2 = 4

Slide 15

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