find the square roots of 100 and 169 by the method of repeated subtraction
steps please
Answers
Answer:
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Step-by-step explanation:
√100 by Repeated subtraction:
100 - 1 = 99. 99 - 3 = 96. 96 - 5 = 91. 91 -7 = 84. 84 - 9 = 75. ...
We get 0 at 10th step. Hence,10 is the square root of 100.
√100 = 10.
√169 by Repeated subtraction:
169 - 1 = 168. 168 - 3 = 165. 165 - 5 = 160. 160 - 7 = 153. 153 - 9 = 144. ...
We get 0 at 13th step. Hence,13 is the square root of 169.
√169=13
Answer:
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Step-by-step explanation:
Square root of 100 by method of subtraction
Step I 100 - 1 = 99
Step II 99 - 3 = 96
Step III 96 - 5 = 91
Step IV 91 -7 = 84
Step V 84 - 9 = 75
Step VI 75 - 11 = 64
Step VII 64 - 13 = 51
Step VIII 51 - 15 = 36
Step IX 36 - 17 = 19
Step X 19 - 19 = 0
0 is obtained at the 10th step. Hence, 10 is the square root of 100.
Square root of 169 by method of subtraction
Step I 169 - 1 = 168
Step II 168 - 3 = 165
Step III 165 - 5 = 160
Step IV 160 - 7 = 153
Step V 153 - 9 = 144
Step VI 144 - 11 = 133
Step VII 133 - 13 = 120
Step VIII 120 - 15 = 105
Step IX 105 - 17 = 88
Step X 88 - 19 = 69
Step XI 69 - 21 = 48
Step XII 48 - 23 = 25
Step XIII 25 - 25 = 0
0 is obtained at the13th step. Hence, 13 is the square root of 169