Simplifying Radical Expressions

7.3 Radicals and Square Numbers

100

What are 3 examples of square numbers?

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

200

Simplify: √100

10

300

√11 is between what?

9 and 16 

400

Simplify √x⁶

x³

500

√147 is between what?

Between 12 and 13

7.4.1 Radical Expressions

100

Simplify √32

4√2

200

Simplify √75

5√3

300

Simplify √48

4√3

400

Simplify √200

10√2

500

Simplify √128

8√2

7.4.2 Product Property of Square Roots

100

How can you rewrite this? √(4)(16)

√4√16 = 2 x 4 = 8

200

Simplify √5² 4² 

5 x 4 = 20

300

Simplify √4²+2²

√25 = 5

400

Simplify √(2) (32)

√2 x 4√2 = 2 x 4 = 8

500

Simplify √2 x √18

4

7.4.2 Product Property of Square Roots

100

How can you rewrite this √a/b ?

√a/√b

200

Simplify √7/36

√7/6

300

Simplify √52/25

2√13/5

400

Simplify √128/9

8√2/3

500

Simplify √80/49

4√5/7

7.4.3 Radical Expressions

100

Simplify √x⁴y⁷

x²y³√y

200

Simplify √a⁵/b³

(a²√a)/(b√b)

300

Simplify √64x⁴y³

8x²y√y

400

Simplify √25x⁵/y³

(5x²√x)/(y√y)

500

√18x²/9y⁴

(3x√2)/(3y²⁾