Free Revision Test for Sainik and RMS Class VI
Sums on square root
Please go through these example and solutions
Once you have under stood this solve the 10 sums given
below:-
Steps of Long Division
Method for Finding Square Roots:
Step I: Group
the digits in pairs, starting with the digit in the units place. Each pair and
the remaining digit (if any) is called a period.
Step II: Think of the largest number whose square is equal to or just
less than the first period. Take this number as the divisor and also as the
quotient.
Step III: Subtract the product of the divisor and the quotient from
the first period and bring down the next period to the right of the remainder.
This becomes the new dividend.
Step IV: Now,
the new divisor is obtained by taking two times the quotient and annexing with
it a suitable digit which is also taken as the next digit of the quotient,
chosen in such a way that the product of the new divisor and this digit is
equal to or just less than the new dividend.
Step V: Repeat steps (2), (3) and (4) till all the periods have been
taken up. Now, the quotient so obtained is the required square root of the
given number.
Examples on square root
of a perfect square by using the long division method
1. Find the square root of
784 by the long-division method.
Solution:
Marking periods and using the long-division method,
Therefore, √784 = 28
2. Evaluate √5329 using
long-division method.
Solution:
Marking periods and using the long-division method,
Therefore, √5329 =73
3. Evaluate: √16384.
Solution:
Marking periods and using the long-division method,
Therefore, √16384 = 128.
4. Evaluate: √10609.
Solution:
Marking periods and using the long-division method,
Therefore, √10609 = 103
5. Evaluate: √66049.
Solution:
Marking periods and using the long-division method,
Therefore, √66049 = 257
Find the square root of the following numbers using long division
method.
1)
12321
2)
16384
3)
65536
4)
474721
5)
145161
6)
2116
7)
55225
8)
7744
9)
106276
10)
278784
Please show the working of this on your note book tomorrow
so that, I can understand that you have under stood the chapter.
The answers will be show tomorrow
Practice Problems
Find the square root of the following numbers using long division
method.
1)
12321
2)
16384
3)
65536
4)
474721
5)
145161
6)
2116
7)
55225
8)
7744
9)
106276
10)
278784
Answers
for the above questions :
1)
111
2)
128
3)
256
4)
689
5)
381
6)
46
7)
235
8)
88
9)
326
10)
528
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