Chapter 9: Exercises with Answers

902 Chapter 9 Radical Functions
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
√
16h 8
√
25f 2
√
25j 8
√
16m 2
√
25a 2
√
(7x + 5) 12
√
9w 10
√
25x 2 − 50x + 25
√
49x 2 − 42x + 9
√
25x 2 + 90x + 81
√
25f 14
√
(3x + 6) 12
√
(9x − 8) 12
for x = −2.
49. Given that x < 0, place the radical
expression √ 27x 12 in simple radical
form. Check your solution on your calculator
for x = −2.
50. Given that x < 0, place the radical
expression √ 44x 10 in simple radical
form. Check your solution on your calculator
for x = −2.
In Exercises 51-54, follow the lead of
Example 17 in the narrative to simplify
the given radical expression and check
your result with your graphing calculator.
51. Given that x < 4, place the radical
expression √ x 2 − 8x + 16 in simple
radical form. Use a graphing calculator
to show that the graphs of the original
expression and your simple radical form
agree for all values of x such that x < 4.
41.
42.
43.
44.
45.
46.
√
36x 2 + 36x + 9
√
4e 2
√
4p 10
√
25x 12
√
25q 6
√
16h 12
47. Given that x < 0, place the radical
expression √ 32x 6 in simple radical form.
Check your solution on your calculator
for x = −2.
48. Given that x < 0, place the radical
expression √ 54x 8 in simple radical form.
Check your solution on your calculator
52. Given that x ≥ −2, place the radical
expression √ x 2 + 4x + 4 in simple
radical form. Use a graphing calculator
to show that the graphs of the original
expression and your simple radical form
agree for all values of x such that x ≥ −2.
53. Given that x ≥ 5, place the radical
expression √ x 2 − 10x + 25 in simple
radical form. Use a graphing calculator
to show that the graphs of the original
expression and your simple radical form
agree for all values of x such that x ≥ 5.
54. Given that x < −1, place the radical
expression √ x 2 + 2x + 1 in simple
radical form. Use a graphing calculator
to show that the graphs of the original
expression and your simple radical form
agree for all values of x such that x < −1.
Version: Fall 2007