View by Category

Loading...

PPT – Square and Cube Roots PowerPoint presentation | free to download - id: 83dd85-Y2E0M

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Square and Cube Roots

- Roots and Radicals

Mr. O

Square and Cube Roots

- Roots and Radicals

Radicals (also called roots) are directly related

to exponents.

Square and Cube Roots

- Roots and Radicals

The simplest types of radicals are square roots

and cube roots.

Radicals beyond square roots and cube roots

exist, but we will not explore them here.

Square and Cube Roots

- Roots and Radicals

The rules for radicals that you will learn work

for all radicals not just square roots and cube

roots.

Square and Cube Roots

- Roots and Radicals

The symbol used to indicate a root is the radical

symbol -

Square and Cube Roots

- Roots and Radicals

Every radical expression has three parts

- Radical symbol

- Index

- Radicand

Square and Cube Roots

- Roots and Radicals

Every radical expression has three parts

Square and Cube Roots

- Roots and Radicals

The cube root of 64 is written as

.

Square and Cube Roots

- Roots and Radicals

What does square root mean?

What does cube root mean?

Square and Cube Roots

- Roots and Radicals

The square root of a number (or expression) is

another number (or expression)

which when multiplied by itself (squared) gives

back the original number (or expression).

2 x 2 4

2

2

3 x 3 9

3

3

4 x 4 16

4

4

5 x 5 25

5

5

Square and Cube Roots

- Roots and Radicals

Example

has two answers

7 is called the positive or principal square root.

-7 is called the negative square root.

Square and Cube Roots

- Roots and Radicals

Example

because

Also

because

Square Roots

- Ok, Square roots!
- A square root is the opposite of squaring a

number. - Three squared is nine, so the square root of nine

is three! - A square root of a number is ...
- ... a value that can be multiplied by itself to

give the original number! - A square root of 9 is ...
- ... 3, because when 3 is multiplied by itself you

get 9!

Square and Cube Roots

- Roots and Radicals

The cube root of a number (or expression) is

another number (or expression)

which when multiplied by itself three times

(cubed) gives back the original number (or

expression).

Cubes

5

6

7

8

1

2

3

4

2 x 2 x 2 8

2

2

2

3 x 3 x 3 27

3 x 3 x 4 36

Square and Cube Roots

- Roots and Radicals

Example

because

because

Cube Roots

- Cube Roots!
- A cube root goes the other direction of having

something cubed - 3 cubed is 27, so the cube root of 27 is 3!
- The cube root of a number is ...
- ... a special value that when cubed gives the

original number! - The cube root of 27 is
- ... 3, because when 3 is cubed you get 27!

Square and Cube Roots

Roots and Radicals

If a number is a perfect square, then you can

find its exact square root.

A perfect square is simply a number (or

expression) that can be written as the square

raised to 2nd power of another number (or

expression).

Square and Cube Roots

Roots and Radicals

If a number is a perfect cube, then you can find

its exact cube root.

A perfect cube is simply a number (or expression)

that can be written as the cube raised to 3rd

power of another number (or expression).

Square and Cube Roots

Roots and Radicals

Not all numbers or expressions have an exact

square root or cube root as in the previous

examples.

Square and Cube Roots

Roots and Radicals

If a number is NOT a perfect square, then you

CANNOT find its exact square root.

If a number is NOT a perfect cube, then you

CANNOT find its exact cube root.

You can approximate these square roots and cube

roots of real numbers with a calculator.

Square and Cube Roots

Roots and Radicals

Examples

WATCH, LISTEN, LEARN!

- Roots and Radicals

Example

because

Help Me

- Roots and Radicals

Example

because

Your Turn

- Roots and Radicals

Example

because

SAGE AND SCRIBE Shortest will be Scribe

Copy and Complete the Square and Cube Root sums!

Good luck!

- Square
- v9 ?
- v225 ?
- v64 ?
- v16 ?
- v49 ?
- Cube
- v27 ?
- v216 ?
- v1 ?
- v8 ?
- v343 ?

Done? Click Here!

Answers (no peeking!)

Here are the answers to the previous questions,

hope you get them right!

- Square
- 3
- 15
- 8
- 4
- 7
- Cube
- 3
- 6
- 1
- 2
- 7

Click here!

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Square and Cube Roots" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!