Intermediate Algebra (11th edition)

8.2

18.Concept Check Fill in the blanks with the correct responses: One way to evaluate is

to first find the ______root of ______, which is ______. Then raise that result to the

______power, to get an answer of ______. Therefore, ______.

19.Concept Check Which one of the following is a positive number?

A. B. C. D.

20.Concept Check If ais a negative number and nis odd, then what must be true about m

for to be (a)positive (b) negative?

21.Concept Check If ais negative and nis even, is a real number?

Simplify. If the expression does not represent a real number, say so.

30.Concept Check Illustrate two different ways of writing as a radical expression.

31.Explain the relationship between the expressions and Give an example.

Write each expression as a radical.

Write each expression with a rational exponent.

34. 279 35. 25 p^4

1 m+ 3 n 2 1/2 13 a+b 2 - 5/3

am/n 2 nam.

8 2/3

a 1 - 162 3/4

81

10,000

b

• 3/4
  a-

1

8

b

• 5/3


• a

36

25

b

3/2

49 1/2 - 121 1/2 16 5/4 - 8 2/3

a1/n

am/n

1 - 272 2/3 1 - 642 5/3 1 - 1002 1/2 1 - 322 1/5

8 2/3=

8 2/3

CHAPTER 8 Review Exercises 487

REVIEW EXERCISES

CHAPTER 8

8.1 Find each root.

1. 2. 3.

4. 5. 6.

7.Concept Check Under what conditions is not a real number?

8.Simplify each radical so that no radicals appear. Assume that xrepresents any real number.

(a) (b) (c)

Use a calculator to find a decimal approximation for each number. Give the answer to the

nearest thousandth.

Graph each function. Give the domain and range.

15. 
    
    
    
    16. 17.What is the best estimate of the area of the triangle shown here?
        A. 3600 B. 30 C. 60 D. 360
    
    
    
    

ƒ 1 x 2 = 2 x- 1 ƒ 1 x 2 = 23 x+ 4

24500 -^3 - 235004 - 228 -^1

- 247 23 - 129 24605

2 x^2 - 2 x^223 x^3

2

n

a

23 - 125 - 2327 25 - 32

21764 - 2289 23216

√ 38

√ 99