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Self Practice       3.1c

                 1.  Find the value of each of the following without using a calculator.
                                                     1
                     (a)  8 2                    (b) –   5 2 2              (c)  1. 4 2
                                                        6
                 2.  Find the value of each of the following by using a calculator.
                                                      9
                     (a)  29 2                   (b)  1 2 2                 (c)  (–15.3)                      CHAPTER
                                                                                       2
                                                      11
                                                                                                              3
                      How do you determine the square root of a number?
                                                                                     LEARNING
                             5                                                            STANDARDS

                 Find the value of each of the following without using            Determine the square
                                                                                  roots of a number
                 a calculator.                                                    without using
                     
                                                   441
                 (a)  64                      (b)                               technological tools.

                     
                           
                 (a)  64 =  8 × 8             (b)                           441  = 3 × 3 × 7 × 7
                                                    441
                         = 8                                                     =  3 × 7  ×  3 × 7
                                                  9      49                      = 21 × 21
                                                                                
                                                                            441  =  21 × 21
                                                  3   3   7   7                  = 21
                             6

                  Find the value of each of the following without using a calculator.
                       4               7            27
                                                                   0.36
                 (a)            (b)  2         (c)            (d)  
                       25              9            48
                                                                                 Prime factorisation is a
                                                                                 more systematic method
                       4      2    2                        4                  used to find the square
                                                                   4
                 (a)      =      ×                   (a)       =
                       25     5    5                       25                  root of a larger number.
                                                                  25
                               2
                                                                   2
                          =   1 2 2                            =   2
                               5
                                                                   5
                             2                                     2
                          =                                      2
                             5                                 =
                                                                 5
                        7     25      Change to improper
                 (b)  2  =
                        9      9      fraction first.
                               5
                          =   1 2 2                                            Think      Smart
                               3
                             5                                                    The square root of a
                          =                                                       number is the same as
                             3                                                    the number itself. What
                              2                                                   is that number?
                          = 1
                              3

                                                                                                       53
                                                            Squares, Square Roots, Cubes and Cube Roots



       03 TB Math F1.indd   53                                                                        11/10/16   12:09 PM
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