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1 of 4
Mostly we used the following methods to
find square roots.
1-Repeated subtraction method
2-Prime factorization method
3- Long division method
Step1:-
Successively subtract 1,3,5,7…….
From the given number till we get
zero.
Step 2:-
Cont the number of times the
subtraction is performed to arrive
at zero. This number gives the
square root of the given number.
Here successive subtraction is performed 8 times to arrive at
zero. So the square root of 64 is 8.
 Let’s performed successive subtraction to find the
square root of 169.
169-1=168
168-3=165
165-5=160
160-7=153
153-9=144
144-11=133
133-13=120
120-15=105
105-17=88
88-19=69
69-21=48
48-23=25
25-25=0
So we had to performed 13
times successive
Subtraction to arrive at
zero.
Hence square root of 169 is
13.
125
81
100
196
256

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Finding Square Roots Using Repeated Subtraction

  • 1. Mostly we used the following methods to find square roots. 1-Repeated subtraction method 2-Prime factorization method 3- Long division method
  • 2. Step1:- Successively subtract 1,3,5,7……. From the given number till we get zero. Step 2:- Cont the number of times the subtraction is performed to arrive at zero. This number gives the square root of the given number. Here successive subtraction is performed 8 times to arrive at zero. So the square root of 64 is 8.
  • 3.  Let’s performed successive subtraction to find the square root of 169. 169-1=168 168-3=165 165-5=160 160-7=153 153-9=144 144-11=133 133-13=120 120-15=105 105-17=88 88-19=69 69-21=48 48-23=25 25-25=0 So we had to performed 13 times successive Subtraction to arrive at zero. Hence square root of 169 is 13.