Question

Find the square roots of 100 and 169 by the method of repeated subtraction.

Answer 1

Answer:

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Step-by-step explanation:

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.

Answer 2

1. 100 - 1 = 99

2. 99 - 3 = 96

3. 96 - 5 = 91

4. 91 - 7 = 84

5. 84 - 9 = 75

6. 75 - 11 = 64

7. 64 - 13 = 51

8. 51 - 15 = 36

9. 36 - 17 = 19

10. 19 - 19 = 0

Hence; √100 = 10 answer

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

Hence; √169 = 13 answer