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Exponents and radicals


                         1       1                     Activity 5�6: Determine roots of
                 (c)         -                                      numbers by using
                         31-     3 1+                               calculators

                          2        1                   1.  Use any type of calculator to explore
                 (d)          +
                         531 2 3-  -                     how to calculate roots of numbers.
          FOR ONLINE READING ONLY
                                                       2.  Using a  calculator  of your choice,
     Mathematics for Secondary Schools  (f)   10 -  7  -  3 +  7     3.  Copy the following table and use the
                                   1
                          8
                                                         write  the  steps  for  finding  a  square
                 (e)

                              +
                                7 23-
                            5
                       4-
                                                         root or a cube root of a number.
                                      1
                          27
                                                         procedures in task 2 to fill the blank
                                                         correct to  4 significant figures.
                                                             49
           3.    (g)   (( 2  2 + 2  2 +  ) ( ) (  3 ÷  ÷  ÷  2 - 3  2 -  ))     Number Square root Cube root
                 The area of a rectangular Manila
                         (
                                    2
                 sheet is  4 2 3+  ) m . If one              121
                 side of the Manila sheet  is
                 ( 3 2 3 m,+  )   find the length of the     64
                 of the other side in radical form.         8.258
                                                            56.78
           4.    A container has a volume of
                 72 18 3 m .+  3   If the length of the    0.0287

                 container is 6 +  3m,  and height          − 225
                 is  2 +  3 m,find the width of the    4.  Share your results with others
                 container in radical form.
                                                           to illustrate  how the  answers are
           5.    A rectangular canvas has an area          obtained.

                 of 50 14 3+   square metres. If one
                 side of the canvas is 5+  3 m,
                 find the length of the other side in   Exercise 5�12
                 radical form.                         In  questions  1  to  16,  use  a  scientific
                                                       calculator  to  evaluate  each  of the

           Finding roots of numbers by                 expressions  correct  to  4  significant
           calculators                                 figures:
           Roots of numbers  can  be  obtained  by     1.     2156          2.    3 1024
           several methods which includes the use of
           exponent and radical rules, mathematical    3.     267           4.     6.74
           tables, and calculators. Engage in Activity
           5.6 to explore  the  roots of numbers by    5.    5  0.57        6.    7  89.105
           using a calculator.



                                                   112
                                                                            Student's Book Form Two


                                                                                          11/10/2024   20:12:39
     MATHEMATIC F2 v5.indd   112
     MATHEMATIC F2 v5.indd   112                                                          11/10/2024   20:12:39
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