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Numbers
Exercise 39 - Example (Page 1)
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Multiply a number twice by itself: the product is the square of the number.
5 x 5 = 25, square of 5 is 25
28 x 28 = 784, square of 28 is 784


Multiply a number thrice by itself: the product is the cube of the number.
5 x 5 x 5 = 125, cube of 5 is 125
35 x 35 x 35 = 42875, cube of 35 is 42875


Writing in exponential form.
5 x 5 x 5 = 53 where 3 is the power or exponent or index of the number.




Find the square root of 1764
2|1764
2|882
3|441
3|147
7|49
   7

1764=2 x 2 x 3 x 3 x 7 x 7

                                                   
1764 = 2 x 2 x 3 x 3 x 7 x 7
                      
=22 x 32 x 72 = 2 x 3 x 7 = 42
square root of 1764 is 42
Find the square root of 9216
2|9216
2|4608
2|2304
2|1152
2|576
2|288
2|144
2|72
2|36
2|18
3|9
   3

9216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

                                                                                       
9216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
                 
=210 x 32 = 25 x 3 = 32 x 3 = 96
square root of 9216 is 96
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