FRAME 5-27.
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 _____________ .
_______________________________________________________________________________________
MD0900
5-16