Simplify Radicals

Page
2

3 x 3 = 9

3

3

Slide 16

4 x 4 = 16

4

4

Slide 17

5

5

5 x 5 = 25

Slide 18

The square root of 4 is

2

Slide 19

The square root of 9 is

3

Slide 20

The square root of 16 is

4

Slide 21

The square root of 25 is

5

Slide 22

Cubes

1

2

3

4

5

6

7

8

Slide 23

2

2

2

2 x 2 x 2 = 8

Slide 24

3 x 3 x 3 = 27

Slide 25

Nth roots

a square (second) root is written as:

a cube (third) root is written as:

a fourth root is written as:

a fifth root is written as:

Slide 26

Simplify

1.

2.

3.

Slide 27

ANSWERS

1. 7

2. -2

3. 3xy2

Slide 28

Cubes

Cathy is building a cubic

storage room. She wants the volume of

the space to be 1728 cubic feet. What

should the dimensions of the cube be?

Slide 29

Astronomy

A special form of

Kepler’s Third Law of Planetary Motion

is given by where a is the

average distance of an object from the

Sun in AU (astronomical units) and P is

the period of the orbit in years. If an

object is orbiting the Sun with a period

of 12 years, what is its distance from

the Sun?