ï»¿Square Roots
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Square Roots
Find the square root of the following
using square root tables:
a). 0.83
b). 0.03857
c). 0.6
d). 0.0067
Find the square root of the following
using square root tables:
a). 0.83
b). 0.03857
c). 0.6
d). 0.0067
Lesson Objectives
By the end of the lesson you should be able to:
find square root of positive numbers using the mathematical
tables correctly.
INTRODUCTION
Find the square root of the following by factorisation.
a). 25
b). 48
Solution
a). 25 = 5 x 5 Therefore 25 = 5
25 is a perfect square
b). 48 = 24 x 3 = 2 x 2 x 2 x 2 x 3
We notice that it is not possible to group the factors
into two equal groups the factors into two equal groups
hence it is not possible to get square root of 48 by
factorisation.
Another methods of finding square root is by the use of square root tables
Square root tables give the square root of numbers
from 1 to 100 directly. The square root tables have three
sections similar to those of the square tables and they are
used in a similar manner.
Find the square root of
a). 16
b). 25
a). 16 This is written as 16.0
Under column marked x, locate 1 From 16, move
horizontally to value under the column marked .0,
the value is 4.000 which is the square root of 16.6
Activity 1
Use the square root tables to find the square root of 49
The square root of 49 is 7.000
Case 2
Find the square root of
a). 34
b). 58
c). 67
Solution
a). 34 written as 34.0
Under column x locate 34; move horizontally to value
under colum 0 the value is 5.831
Therefore 58 = 5.831
b). 58 written as 58.0
Under colum x locate 58.
Move horizontally to the value under column 0, the is 7.616.
Therefore 58 = 7.616
c). 67 Written as 67.0
Under column x locate 67; move horizontally to the
value under column 0, the value is 8.185
Therefore = 8.185
Activity
Using square root tables find the square root of
a). 7
b). 84
Solutions
2 = 2.646
84 = 9.165
Case 3
Find the square toor of the following using square
root tables:
a). 1.25
b). 10.36
c). 45.67
d). 6 ‘
a). 1.25 under column x locate 1.2; more horizontally
to the value under columns the value is 1.118
Therefore 1.25 = 1.118
b). 10.36
Under column x locate 10, move horizontally to
the value under 3, the value is 3.209, Move further
horizontally to the extension under column 6 to get 9
Ad 9 to the decimal part 209 to get 218.
The square root of 10.36 therefore 3.218.
c). 45.67
Under column x locate 45, move horizontally to the
value under 6, the value is 6.753, move further
horizontally to the extension under column 7 to get 5.
Add 5 to the decimal part which 753 to get 758.
Therefore the square root 45.67 is 6.758
d). 16 1/4
Convert 16 1/4 to a decimal 16.25
Locate 16 under column x, move horizontally to
Column under 2, the value 4.025, move further horizontally
to the extension under column 5 to get 6, add 6 to the decimal
part to get 031 therefore, the square root of is 4.031
Case 4
Find the square root of the following using square root tables:
a). 120
b). 235.2
To find the square root of numbers more than 100 using square root tables
i). Write the number in the form Ax10n
Where A is between 1 and 100 and n is an even number
ii). The squarere root will be x Where = 10n2
10n2 where the number of steps the decimal point moves to
the right
2. To find the square root of numbers less that 1 using the
square of numbers less that 1 using the square root tables.
ii). Write the number in the form Ax 10n
iii). The square root will be x
n2 means the number of steps the decimal pont moves to the left
Solution
The square root 120 is the square root of 1.2 times the square root of 102
That is = 120 = 1.095 x 10 = 10.95
b). 2356.7
This is written as 23.567 x 102
The square root will be square root of 23.567 times the square root of 102
That is 23.567 is rounded off to be 23.57
Therefore 23.567 is rounded off to be 23.57.
23.567 = 4.848 add 7
That is 4.848
+ 7
SQUARE ROOTS
Square roots can be found using differnt ways . Some these ways are using prime factorisation, estimating and square
root table.
.
Square Roots
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Square Roots
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