Find the square root of the following using successive subtraction of odd numbers starting from 1.
(i) 169
(ii) 81
Answers
Answered by
1
Answer:
the square root of 169:28561
81 :6561
Answered by
2
Answer:
(i) 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
We have subtracted odd numbers 13 times to get 0.
√169 = 13
(ii) 81
81 – 1 = 80
80 – 3 = 77
77 – 5 = 72
72 – 7 = 65
65 – 9 = 56
56 – 11 = 45
45 – 13 = 32
32 – 15 = 17
17 – 17 = 0
We have subtracted 9 times to get 0.
√81 = 9
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