Question

find the square of 255 by repeated subtraction method​

Answer 1

Step-by-step explanation:

Step 1: 225 - 1 = 224 

Step 2: 224 - 3 = 221 

Step 3: 221 - 5 = 216 

Step 4: 216 - 7 = 209 

Step 5: 209 - 9 = 200 

Step 6: 200 - 11 = 189 

Step 7: 189 - 13 = 176 

Step 8: 176 - 15 = 161 

Step 9: 161 - 17 = 144 

Step 10: 144 - 19 = 125 

Step 11: 125 - 21 = 104 

Step 12: 104 - 23 = 81 

Step 13: 81 - 25 = 56 

Step 14: 56 - 27= 29 

Step 15: 29 - 29 = 0 

As you can see that given number 225 was repeatedly subtracted by successive odd numbers (starting from 1) and we get zero in fifteenth step. Therefore 15 is the square root of 225 

Or we can also write it as: 

√225 = 15 

Answer 2

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