Question

What us the square root of 289by repated subtraction

Answer 1

Answer:

17

(17) ^2 = 289

Step-by-step explanation:

• 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