Chapter 9: Exercises with Answers

Section 9.2 Multiplication Properties of Radicals 901
9.2 Exercises
1. Use a calculator to first approximate
√
5
√
2. On the same screen, approximate
√
10. Report the results on your homework
paper.
√2. √Use a calculator to first approximate
7 10. On the same screen, approximate
√ 70. Report the results on your
homework paper.
14.
15.
16.
17.
18.
√
150
√
98
√
252
√
45
√
294
√3. √Use a calculator to first approximate
3 11. On the same screen, approximate
√ 33. Report the results on your
homework paper.
√4. √Use a calculator to first approximate
5 13. On the same screen, approximate
√ 65. Report the results on your
homework paper.
In Exercises 5-20, place each of the radical
expressions in simple radical form.
As in Example 3 in the narrative, check
your result with your calculator.
19.
20.
√
24
√
32
In Exercises 21-26, use prime factorization
(as in Examples 10 and 11 in the
narrative) to assist you in placing the
given radical expression in simple radical
form. Check your result with your
calculator.
21.
22.
√
2016
√
2700
5.
√
18
23.
√
14175
6.
√
80
24.
√
44000
7.
√
112
25.
√
20250
8.
√
72
26.
√
3564
9.
10.
11.
12.
√
108
√
54
√
50
√
48
In Exercises 27-46, place each of the
given radical expressions in simple radical
form. Make no assumptions about
the sign of the variables. Variables can
either represent positive or negative numbers.
13.
√
245
27.
√
(6x − 11) 4
1
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Version: Fall 2007