Question

Find the square root of 169 by the method of repeated subtraction​

Answer 1

Answer:

Solution:

1. 100 - 1 = 99. 99 - 3 = 96. 96 - 5 = 91. 91 -7 = 84. 84 - 9 = 75. 75 - 11 = 64. ...
2. We get 0 at 10th step. Hence,10 is the square root of 100.
3. √100 = 10.
4. √169 by Repeated subtraction:
5. 169 - 1 = 168. 168 - 3 = 165. 165 - 5 = 160. 160 - 7 = 153. 153 - 9 = 144. ...
6. We get 0 at 13th step. Hence,13 is the square root of 169.

Answer 2

Solution:

• 100 - 1 = 99. 99 - 3 = 96. 96 - 5 = 91. 91 -7 = 84. 84 - 9 = 75. 75 - 11 = 64. ...
• 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.