MAT/222 MAT222 MAT 222 WEEK 3 DISCUSSION

MAT 222 WEEK 3 DISCUSSION 

Week 3 - Discussion

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 575 – 577, do the following problem

On pages 584 – 585, do the following problem

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

62

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

10

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. Usebold 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.

 

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