Ashford 4: - Week 3 - Discussion 1

 

Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses.

 

     

Simplifying   Radicals

Simplifying Radicals

In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view the example (available for download in your online classroom) to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.) 

  

If   your assigned number is


On   pages 576-577, do the following problem


On   pages 584-585, do the following problems 

 

1


101


2

 

2


60


4

 

3


104


6

 

4


62


8

 

5


102


10

 

6


64


12

 

7


72


14

 

8


70


16

 

9


74


18

 

10


68


20

 

11


76


22

 

12


66


24

 

13


100


26

 

14


22


28

 

15


98


30

 

16


48


32

 

17


56


34

 

18


88


36

 

19


58


38

 

20


28


40

 

21


40


42

 

22


32


44

 

23


86


46

 

24


34


48

 

25


82


50

 

26


36


52

 

27


26


54

 

28


42


56

 

29


96


58

 

30


46


60

 

31


94


62

 

32


52


64

 

33


90


66

 

34


38


68

 

35


78


70

 

36


44


72

 

37


80


74

 

38


50


76

 

39


84


78

 

40


54


80

 

41


20


82

 

42


18


84

 

43


16


86

 

44


14


88

 

45


12


90

  • Simplify each expression using the rules of exponents      and examine the steps you are taking.
  • Incorporate the following five math vocabulary words      into your discussion. Use bold font to emphasize the words in your      writing. Do not write definitions for the words; use them appropriately in      sentences describing the thought behind your math work.
  • Principal root
  • Product rule
  • Quotient rule
  • Reciprocal
  • nth       root

Refer to Inserting Math Symbols for guidance with formatting. Be aware with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have √12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not.  Therefore, we must specify whether we mean it to say √(12) + 9  or  √(12 + 9), as there is a big difference between the two. This distinction is important in your notation.

Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either “sqrt(12) + 9” or  “sqrt(12 + 9)” depending on what we needed it to say. 

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion. 

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