33. 
    
    
    
    34. 
        
        
        
        35. 
            
            
            
            36. 
                
            
            
            
            
        
        
        
        
    
    
    
    

Simplify each expression. Assume that all variables represent nonnegative real numbers.

37. 
    
    
    
    38. 
        
        
        
        39. 
            
        
        
        
        
    
    
    
    


38. 
    
    
    
    41. 
        
        
        
        42. 
            
        
        
        
        
    
    
    
    

8.3 Simplify, and combine terms where possible.

43. 
    
    
    
    44. 
        
        
        
        45. 
            
        
        
        
        
    
    
    
    


44. 
    
    
    
    47. 
        
        
        
        48. 
            
        
        
        
        
    
    
    
    


45. 
    
    
    
    50. 
        
        
        
        51. 
            
        
        
        
        
    
    
    
    

Simplify each expression. Assume that all variables represent nonnegative real numbers.

52. 
    
    
    
    53. 
        
        
        
        54. 
            
        
        
        
        
    
    
    
    

8.4 Perform each indicated operation and write answers in simplest form. Assume that

all variables represent positive real numbers.

55. 
    
    
    
    56. 
        
        
        
        57. 
            
            
            
            58. 
                
                
                
                59. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


56. 
    
    
    
    61. 
        
        
        
        62. 
            
            
            
            63. 
                
                
                
                64. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    

8.5 Simplify each expression.

65. 
    
    
    
    66. 
        
    
    
    
    


66. 
    
    
    
    68. 
        
    
    
    
    


67. 
    
    
    
    70. 
        
    
    
    
    

Rationalize each denominator.

71. 
    
    
    
    72. 
        
        
        
        73. 
            
        
        
        
        
    
    
    
    

Write each quotient in lowest terms.

74. 
    
    
    
    75. 
        
        
        
        76. 
            
        
        
        
        
    
    
    
    

8.6 Solve each equation.

77. 
    
    
    
    78. 
        
        
        
        79. 
            
        
        
        
        
    
    
    
    


78. 
    
    
    
    81. 
        
        
        
        82. 
            
        
        
        
        
    
    
    
    


79. 
    
    
    
    84. 
        
    
    
    
    


80. 23 x+ 4 = 2316 - 2 x 86. 25 x+ 6 + 23 x+ 4 = 2

213 + 4 t=t+ 4 22 - x+ 3 =x+ 7

25 m+ 4 = 32 m 22 p+ 3 = 25 p- 3 2 - 2 t- 4 =t+ 2

2 m- 5 = 0 2 p+ 4 = 0 2 x+ 1 = 7

6 + 2192

2

3 + 927

12

15 + 1026

15

2 + 26

23 - 1

28

22 + 6

1

2 + 25

A^25 -^27 BA^25 +^27 B A^223 +^5 BA^223 -^5 B

A 223 - 4 BA 523 + 2 B A 527 + 2 B^2

• 23 A 25 + 227 B 322 A 23 + 222 B

B

3

2

B 7

3

1

B 3

r^2

B 16 x

2

7

#

B

1

B 3

5

14

228

B

2

5

22

215

12

224

5

25

822

25

24 x+ 236 x- 29 x 220 m^2 - m 245 3 k 28 k^2 n+ 5 k^2 22 n

215 # 22 + 5230

1

3

218 +

1

4

232

2

5

275 +

3

4

2160

4212 + 248 4224 - 3254 + 26 227 - 4228 + 3263

7211 + 211 322 + 622 3275 + 2227

2 x^10 y^162 a^15 b^212121 x^6 y^10

2 p# 2 p 2 k# 2 m 2 r^18

82150

4275

24212

623

3210

B 25

2

5

#

B

2

45

548 CHAPTER 8 Roots and Radicals

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