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Exponents and radicals


                       ) (
 ( 23 -  2 ´  ) (  3 32 =    ) ( 23´  3 +  23 32 + - ) (  2 ´  3 + - ) (  2 32 )  3  2    )
    +
                              ´
                                                         ´
                                                             ( ) (
 ( 23 -  2 ´  ) (  3 32 =  23´  3 +23 -  23 32 + - ´ ´ 2 )  ) ( (  +  2 ´ 3 32 = = 3 + - 23´  3 +  ) (  6 34  ) (  2 ´  3 + - ) (  11. ´  5 ´  13
 ) (
             ) ( (
                                                                )
                       )
          )
 ) ( (
                             -
                  + ´
 +
                                                        2 32
              29 6 6 - 2 32 23 32 + -
                               ´
              23 5 6 32

 +
 -
 =  29 6 6 -  6 34  = ´ +  -´ 6 34                     12.   (  21+  2   )
            =
              29 6 6 -
                  +
                             -
            =+       -
              6 56 6
 = ´ +  -´  = ´ +       -´
 23 5 6 32
              23 5 6 32
          FOR ONLINE READING ONLY
              665 6
            = - +
     Mathematics for Secondary Schools  Therefore,  ) ( 3 32´  +  ) =  56   .  15.  5´  24´  40
 =+  -      =+       -                                 13.   2 2´   10´   20
 6 56 6
              6 56 6
 = - +      = 56
 665 6
              665 6
            = - +
 = 56       = 56                                       14.     6´  8´   10´  12
            ( 23 -
                     2
           Exercise 5�9                                16.     8 (  2 -  18 )
           Simplify each of the following radicals:
                                                       17.     5 (  2 +  18 )
            1.      20´      5
                                                       18.   6 2  (  2 -  18 )
            2.      12´      3
                                                       19. (  2 5 1+  ) ( 35 1+  )
                                                                      ´
            3.      45´  54
                                                       20.   (  8   2 -  2   )
            4.    2 3´   54
                                                       21. (    7    5 +  )(  7  5 -  )
            5.    3 10 3 10´
                                                       22. (  4 3 -  12 )(  3 +  2 )
            6.      32´  12
            7.    2 3 5 12´                            23.   ( 23 1+  2   )
                                                                        )(
            8.    ( 2 15  2   )                        24. (  23 -    5 23 3 5+     )


            9.    (  6  3   )                          25. (    6 −  24 )(  2 +  3 )


                         2
            10.   ( 2 15 ) ( ) 2                       26.     8 (  2 −  18 )
                             7




                                                   106
                                                                            Student's Book Form Two


                                                                                          11/10/2024   20:12:32
     MATHEMATIC F2 v5.indd   106
     MATHEMATIC F2 v5.indd   106                                                          11/10/2024   20:12:32
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