Skip to content Skip to navigation Skip to collection information

Connexions

You are here: Home » Content » Advanced Algebra II: Activities and Homework » Homework: Radicals

Navigation

Table of Contents

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • Featured Content display tagshide tags

    This collection is included inLens: Connexions Featured Content
    By: Connexions

    Comments:

    "This is the "main" book in Kenny Felder's "Advanced Algebra II" series. This text was created with a focus on 'doing' and 'understanding' algebra concepts rather than simply hearing about them in […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Also in these lenses

  • Busbee's Math Materials display tagshide tags

    This collection is included inLens: Busbee's Math Materials Lens
    By: Kenneth Leroy Busbee

    Click the "Busbee's Math Materials" link to see all content selected in this lens.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Homework: Radicals

Module by: Kenny M. Felder. E-mail the author

Summary: This module provides practice problems related to radicals.

For the following problems, I am not looking for big long ugly decimals—just simplified expressions. You should not have to use your calculator at all, except possibly to check your answers. Remember, you can always check your answer by squaring back!

Exercise 1

64 64

Exercise 2

64 3 64 3

Exercise 3

3 64 3 64

Exercise 4

- 64 - 64

Exercise 5

-64 -64

Exercise 6

-64 3 -64 3

Exercise 7

If -x n -x n has a real answer, what can you say about n n?

Exercise 8

8 8

Exercise 9

18 18

Exercise 10

48 48

Exercise 11

70 70

Exercise 12

72 72

Exercise 13

100 100

Exercise 14

1 4 1 4

Exercise 15

4 9 4 9

Exercise 16

8 12 8 12

Exercise 17

16 x 2 16 x 2

  • a. Simplify as much as possible (just like all the other problems)
  • b. Check your answer with x=3 x 3 . Did it work?

Exercise 18

( 16 x ) 2 ( 16 x ) 2

Exercise 19

x 10 x 10

Exercise 20

x 11 x 11

Exercise 21

75 x 3 y 6 z 5 75 x 3 y 6 z 5

Exercise 22

x 2 y 2 x 2 y 2

Exercise 23

x 2 + y 2 x 2 + y 2

Exercise 24

x 2 + 2 x y + y 2 x 2 + 2 x y + y 2

Exercise 25

x 2 + 9 x 2 + 9

Exercise 26

x 2 + 6 x + 9 x 2 + 6 x + 9

Say, remember inverse functions?

Exercise 27

f ( x ) = x 2 f(x)= x 2

  • a. Find the inverse of the function.
  • b. Test it.

Exercise 28

f ( x ) = x 3 f(x)= x 3

  • a. Find the inverse of the function.
  • b. Test it.

Exercise 29

f ( x ) = 3 x f(x)= 3 x

  • a. Find the inverse of the function.
  • b. Test it.

Collection Navigation

Content actions

Download:

Collection as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Module as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks