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Question

Find the square root of 169 by the method of repeated subtraction

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Solution

1. 169 - 1 = 168
2. 168 - 3 = 165
3. 165 - 5 = 160
4. 160 - 7 = 153
5. 153 - 9 = 144
6. 144 - 11 = 133
7. 133 -13 = 120
8. 120 - 15 = 105
9. 105 - 17 = 88
10. 88 - 19 = 69
11. 69 -21 = 48
12. 48 - 23 = 25
13. 25 - 25 = 0
As we got zero at 13th step so square root will be 13

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