find the square root of 256
by repeated subtraction method
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Step-by-step explanation:
Step 1: 256 - 1 = 255
/* Subtracting of first odd number */
Step 2: 255 - 3 = 252
/* Subtracting of second odd number */
Step 3: 252 - 5 = 247
/* Subtracting of Third odd number */
Step 4: 247 - 7 = 240
Step 5: 240 - 9 = 231
Step 6: 231 - 11 = 220
Step 7: 220 - 13 = 207
Step 8: 207 - 15 = 192
Step 9: 192 - 17 = 175
Step 10: 175 - 19 = 156
Step 11: 156 - 21= 135
Step 12: 135 - 23 = 112
Step 13: 112 - 25 = 87
Step 14: 87 - 27 = 60
Step 15: 60 - 29 = 31
Step 16: 31 - 31 = 0
From 256,we have subtracted 16 successive odd numbers starting from 1 and obtained zero (0) at 16 th step.
Therefore,
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