Warm upSimplify.

1.

2.

3.

1154x

6 52 12 x y

4 64 75a b

53 6x x

3 24 3 x y y

2 320 3 a b

EOCT Practice

aa) b - 8

b) b + 8

c) b - 15

d) b + 15

The area of a rectangle is b2 – 5b – 24 square centimeters. Its width is b + 3 centimeters. Which expression represents the length in centimeters, of the rectangle?

Multiplying RadicalsMultiplying Radicals

1.Multiply numbers outside the

radical with other numbers

outside the radical.

2.Multiply radicands with other

radicands.

3. Simplify, if possible

Example 1

3 10 2 6Multiply then simplify if possible.

6 60

12 15

Example 2

7 2 4 3( )

Distribute then simplify if possible.

28 2 7 6

Your Turn

3. 3 12

4. 5( 2 1)

36 6

10 5

Dividing Dividing RadicalsRadicals

Dividing RadicalsDividing Radicals

1. Check to see if you can simplify the

radicands and split them up.

2. Simplify PERFECT SQUARES.

3. If there’s a radical in the denominator,

rationalize it.

4. Check again to see if any numbers

outside the radical can simplify.

Rationalizing the Rationalizing the DenominatorDenominator

1. Multiply top and bottom by the

bottom radical

2. Simplify the top

3. The bottom will become the

radicand

16

8 2

Reduce the fraction first.

8

8

27

48

Reduce the fraction first.

3

3

Split up the square root sign.

9

16

3

4

16

25 16

25

Split up the square root sign.

4

5

3

49=

Split up the square root sign.

3

49 3

7

3

5

5

5 15

25

15

5

6

33

3 6 3

3

2 3Split up the square root sign.

27

15

3

55

5

3 5

5

9

5

Reduce the fraction.Simplify perfect square.