Find the square root of 289 by repeated subtraction.
Answers
Answered by
88
Step 1: 289 - 1 = 288
Step 2: 288 - 3 = 285
Step 3: 285 - 5 = 280
Step 4: 280 - 7 = 273
Step 5: 273 - 9 = 264
Step 6: 264 - 11 = 253
Step 7: 253 - 13 = 240
Step 8: 240 - 15 = 225
Step 9: 225 - 17 = 208
Step 10: 208 - 19 = 189
Step 11: 189 - 21 = 168
Step 12: 168 - 23 = 145
Step 13: 145 - 25 = 120
Step 14: 120 - 27= 93
Step 15: 93 - 29 = 64
Step 16: 64-31 =33
Step 17:33-33=0
we get zero in seventeenth step. Therefore 17 is the square root of 289
Step 2: 288 - 3 = 285
Step 3: 285 - 5 = 280
Step 4: 280 - 7 = 273
Step 5: 273 - 9 = 264
Step 6: 264 - 11 = 253
Step 7: 253 - 13 = 240
Step 8: 240 - 15 = 225
Step 9: 225 - 17 = 208
Step 10: 208 - 19 = 189
Step 11: 189 - 21 = 168
Step 12: 168 - 23 = 145
Step 13: 145 - 25 = 120
Step 14: 120 - 27= 93
Step 15: 93 - 29 = 64
Step 16: 64-31 =33
Step 17:33-33=0
we get zero in seventeenth step. Therefore 17 is the square root of 289
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Answered by
51
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HERE GOES YOUR ANS
- Step 1: 289 - 1 = 288
- Step 2: 288 - 3 = 285
- Step 3: 285 - 5 = 280
- Step 4: 280 - 7 = 273
- Step 5: 273 - 9 = 264
- Step 6: 264 - 11 = 253
- Step 7: 253 - 13 = 240
- Step 8: 240 - 15 = 225
- Step 9: 225 - 17 = 208
- Step 10: 208 - 19 = 189
- Step 11: 189 - 21 = 168
- Step 12: 168 - 23 = 145
- Step 13: 145 - 25 = 120
- Step 14: 120 - 27= 93
- Step 15: 93 - 29 = 64
- Step 16: 64-31 =33
- Step 17:33-33=0
We get zero in seventeenth step. Therefore 17 is the square root of 289
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