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    By: ConnexionsAs a part of collection: "Advanced Algebra II: Activities and Homework"

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    "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 […]"

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Radicals Homework -- 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.

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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.

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