Find the square roots of 121 and 169 by the method of repeated subtr

1.	Find the square roots of 121 and 169 by the method of repeated subtraction.
Answer» We 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 Hence, we have performed operation 11 times. Now, ∴ √121 = 11 169 – 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 Clearly, we have performed subtraction 13 times ∴ √169 = 13

Find the square roots of 121 and 169 by the method of repeated subtraction.

Answer»

We 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

Hence, we have performed operation 11 times.

Now,

∴ √121 = 11

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

Clearly, we have performed subtraction 13 times

∴ √169 = 13