Quick Tutorial for Finding the SQUARE ROOT
Square root of any number
greater than or equal to 1 but less than 100 consists of only 1 digit.
Square root of any number
greater than or equal to hundred but less than 10000 consists of 2 digits.
Procedure for finding
square root of perfect squares
1. First find the last digit
of the square root, which can directly be obtained by looking the last digit of
the given number and then referring to the table below:
2. Now consider all the digits to the left of the tens digit and look at the number which remain. Think of a number whose square is just equal or less than this remaining number. E.g.: 4096
Last Digit of Squar Root | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Possible Last Digit Number | 0 | 1,9 | - | - | 2,8 | 5 | 4,6 | - | - | 3,7 |
2. Now consider all the digits to the left of the tens digit and look at the number which remain. Think of a number whose square is just equal or less than this remaining number. E.g.: 4096
From the above table, we
get the last digit of the square root as either 4 or 6
Then we ignore 96 and focus
on 40. 40 are just a little more than the square of 6. Thus 6 becomes the tens
digit of our final answer.
Hence the square root is 64
and not 66 (since 4096 is more close to 60 square i.e. 3600 than to
70 square i.e. 4900).
Procedure for finding the
square root of any number
E.g.: find the approximate
square root value of 12345
Ignore the last two digits
(units digit and the tens digit). Now consider the remaining number- 123
Since 123 lies between the
squares of 11 and 12, more towards the square of 11 i.e. 121; we can estimate
that the square root of 12345 will be near 110.
Now check all the options
and choose the nearest answer.
Now
try to solve these 10 questions as fast as possible (3-5 min)
Directions (1-5): find the square root (exact value) of the following numbers
Directions (1-5): find the square root (exact value) of the following numbers
1.
4761
(a)
59 (b) 69
(c) 61 (d) 71
2.
7569
(a)
77 (b) 89
(c) 87 (d) 93
3.
1849
(a)
43 (b) 47
(c) 39 (d) 49
4.
3969
(a)
61 (b)
63
(c) 69 (d) 71
5.
9604.
(a)
98 (b) 97
(c)
92 (d) 94
Directions
(5-10): find the square root (approximate value) of the following numbers
6.
5555
(a)
71 (b) 75
(c) 79 (d) 69
7.
2489
(a)
45 (b) 53
(c) 50 (d)
41
8.
13578
(a)
111 (b)
116
(c) 119 (d) 121
9.
6879.
(a) 80 (b) 83
(c)
77 (d)
85
10.
12152
(a)
115 (b) 100
(c) 105 (d)
110
SOLUTIONS
Q
|
Ans
|
Q
|
Ans
|
1
|
b
|
6
|
b
|
2
|
c
|
7
|
c
|
3
|
a
|
8
|
b
|
4
|
b
|
9
|
b
|
5
|
a
|
10
|
d
|
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