Solution to

You may have been able to guess the square roots of the preceding

Frame 5-26

problems, but you can see that this would not be a good way to

determine the square root of numbers like 37,594,227.0374.

a. 25

The easiest way of finding the square root of a number is to use a hand-

b. 0.02

held calculator or a computer. There is a method for calculating the

square root of a number using paper and pencil, but this method takes

c. 1/9

time and will not be presented here.

Sometimes you may just want a good guess as to the square root or you

may just want to know where the decimal point goes.

In such cases, it is useful to have a method of determining the

approximate square root of a number. First, review the squares of the

integers from 1 to 9. Remember, the square root of the square is the

original number.

12 = 1

11/2

therefore

=

1

22 = 4

41/2

therefore

=

2

32 = 9

91/2

therefore

=

3

42 = 16

161/2

therefore

=

4

52 = 25

251/2

therefore

=

5

62 = 36

361/2

therefore

=

6

72 = 49

491/2

therefore

=

7

82 = 64

641/2

therefore

=

8

92 = 81

811/2

therefore

=

9

NOTE: A number that is an exact square of an integer (whole number) is

sometimes called a "perfect square." The square root of a perfect square

is an integer.

If the square of 387 is 149,769, then the square root of 149,769

is _____________ .

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MD0900

5-16

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