find square root by repeated sudtraction method 256
Answers
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
Answer:
i) 256-1=255
ii) 255-3=252
iii)252-5=247
iv)247-7=240
v)240-9=231
vi)231-11=220
vii)220-13=207
viii)207-15=192
ix)192-17=175
x)175-19=156
xi)156-21=135
xii)135-23=112
xiii)112-25=87
xiv)87-27=60
xv)60-29=31
xvi)31-31=0
it takes 16 steps
√256=16