8.7 Simplify each expression. Assume that all variables represent positive real numbers.

87. 
    
    
    
    88. 
        
        
        
        89. 
            
        
        
        
        
    
    
    
    


88. 
    
    
    
    91. 
        
        
        
        92. 28494
        
        
        
        
    
    
    
    

x1/4#x5/4

x3/4

13 4/5

13 - 3/5

81 1/2 - 125 1/3 7 2/3# 7 7/3

CHAPTER 8 Test 549

MIXED REVIEW EXERCISES

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

Solve.

107. 
     
     
     
     108. 
          
          
          
          109. 110.A biologist has shown that the number of different
               plant species Son a Galápagos island is related to
               the area (in square miles) of the island by
          
          
          
          
     
     
     
     

How many plant species would exist on such an

island with the following areas?

(a) 8 mi^2 (b)1790 mi^2

S=28.6 23 a.

a

2 x+ 2 =x- 4 2 x+ 3 = 0 21 + 3 t-t=- 3

• 2121 2227 + 3275 - 2300

x8/3

x2/3

A^25 -^22 B

2

A^627 +^2 BA^427 -^1 B

12 + 6213

12

• (^25) A 22 + (^275) B - 2162 + 28
  B
  16 r^3
  3 s
  23 - 125 250 y^2
  1
  B 5 + 22
  1
  3
  
  

  B
  24
  5
  64 2/3
  1.Find all square roots of 196.
  2.Consider
  (a)Determine whether it is rational or irrational.
  (b)Find a decimal approximation to the nearest thousandth.
  3.Match each radical in Column I with the equivalent choice in Column II. Choices may be
  used once, more than once, or not at all.
  III
  (a) (b)
  (c) (d)
  (e) 23 - 64 (f )- 23 - 64
  2 - 64 2364
  264 - 264

  
  

2142. TEST
      CHAPTER 8
      View the complete solutions to
      all Chapter Test exercises on
      the Video Resources on DVD.
      Step-by-step test solutions are found on the Chapter Test Prep Videos
      available via the Video Resources on DVD, in , or on
      (search “LialBeginningAlgebra”).
      CHAPTER
      VIDEOS
      A. 4 B. 8
      C. D.Not a real number
      E. 16 F. - 8

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