Basic Mathematics for College Students

13. In what step of the order of operations rule are
    square roots to be evaluated?


14. Graph and on a number line.


15. Graph and on a number line. (Hint:Use a
    calculator or square root table to approximate each
    square root first.)


16. a. Between what two whole numbers would
    be located when graphed on a number line?
    b. Between what two whole numbers would
    be located when graphed on a number line?

NOTATION

Fill in the blanks.

17. a. The symbol is used to indicate a positive
    .
    b. The symbol is used to indicate the
    square root of a positive number.


18. means 4.
    Complete each solution to evaluate the expression.


19. 
    

20.

GUIDED PRACTICE

Find the two square roots of each number.See Example 1.

21. 25 22. 1


22. 16 24. 144
    Evaluate each square root without using a calculator.
    See Example 2.


23. 
    
    
    
    26. 
        
    
    
    
    


24. 
    
    
    
    28. 
        
    
    
    
    


25. 
    
    
    
    30. 
        
    
    
    
    


26. 
    
    
    
    32. Use a calculator to evaluate each square root.
        See Objective 1, Using Your Calculator.
    
    
    
    


27. 
    
    
    
    34. 
        
    
    
    
    


28. 1 3,969 36. 1 5,625

1961 1841

 149  181

 1144  1121

19 116

116 164

 5

 25

21100  5125 2( )5( )

 1

 149  164 

419 19

 1

1

150

119

− 5 − 4 − 3 − 2 −10 12 34 5

 13 17

− 5 − 4 − 3 − 2 −10 12 34 5

19  14

Evaluate each square root without using a calculator.

See Example 3.

37. 
    
    
    
    38. 
        
    
    
    
    


38. 
    
    
    
    40. 
        
    
    
    
    


39. 
    
    
    
    42. 
        
    
    
    
    


40. 
    
    
    
    44. 
        
    
    
    
    


41. 
    
    
    
    46. 
        
    
    
    
    


42. 
    
    
    
    48. Evaluate each expression without using a calculator.
        See Example 4.
    
    
    
    


43. 
    
    
    
    50. 
        
    
    
    
    


44. 
    
    
    
    52. 
        
    
    
    
    


45. 
    
    
    
    54. 
        
    
    
    
    


46. 
    
    
    
    56. Evaluate each expression without using a calculator.
        See Example 5.
    
    
    
    


47. 
    
    
    
    58. 
        
    
    
    
    


48. 
    
    
    
    60. 
        
    
    
    
    


49. 
    
    
    
    62. 
        
    
    
    
    


50. 
    
    
    
    64. Evaluate each expression without using a calculator.
        See Example 6.
    
    
    
    


51. 
    


52. 
    

67.

68.

69.

70.

71. 
    
    
    
    72. 
        
    
    
    
    


72. 
    
    
    
    74. 
        
    
    
    
    


73. 
    
    
    
    76. 
        
    
    
    
    


74. 
    
    
    
    78. 
        
    
    
    
    


75. 
    
    
    
    80. Evaluate each formula without using a calculator.
        See Example 7.
    
    
    
    


76. Evaluate for and.


77. Evaluate for and .c 2 a^2 b^2 a 6 b 8

c 2 a^2 b^2 a 9 b 12

 1  31 1.44 52  1  21 1.21 62

(6^2 ) 1 0.042.36 (5^2 ) 1 0.254.7

5 1  1492 (2)^21  1642 (2)(3)^3

B

25

9



B

64

B 81

1

16



B

9

25

149 3(1^6 )

116  164

116 6(2^2 )

14

1169  2 172  311442

1196  3 152  212252

40 C(7^2 40) 7164 D

50 C(6^2 24) 9125 D

18  2 C 42 (73) 19 D

15  4 C 52 (61) 14 D

 8116  51225  31169  21225

 41169  214  6181  511

 101196  4014

4125 2181

 1225  1144  1169  116

 1144  116  11  1196

181  149 14  136

136  11 1100  116

1 0.09 1 0.01

 1 0.81  1 0.49

1 0.64 1 0.36



B

1

4



B

1

81



B

64

25



B

16

9

B

36

B 121

4

25

392 Chapter 4 Decimals