Find the square roots of 121 and 169 by the method of repeated subtraction.
121 – 1 = 120
120 – 3 = 117
117 – 5 = 112
112 – 7 = 115
115 – 9 = 106
106 – 11 = 95
95 – 13 = 82
82 – 15 = 67
67 – 17 = 50
50 – 19 = 31
31 – 21 = 10
Clearly, we have performed operation 11 times
Therefore,
= 11
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
Clearly, we have performed subtraction 13 times
Therefore,
= 13