Find the square root of 49 and 100 by subtraction method
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7 and 10
Step-by-step explanation:
1. 49-1 = 48
2. 48-3 = 45
3. 45-5 = 40
4. 40-7 = 33
5. 33-9 = 24
6. 24-11 = 13
7. 13- 13 = 0
Thus, we have subtracted consecutive odd numbers from 49 starting from 1. 0 is obtained in the 7th step. So we have √49 = 7.
2. 100
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
Thus, we have subtracted consecutive odd numbers from 100 starting from 1. 0 is obtained in the 10th step. So we have √100 = 10.
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