Question

Find the square root of 225 by repeated subtraction method

Answer 1

Answer:

225-1=224

224-3=221

221-5=216

216-7=209

209-9=200

200-11=189

189-13=176

176-15=161

161-17=144

144-19=125

125-21=104

104-23=81

81-25=56

55-27=29

29-29=0

there were 15 steps included so the square root of 225 is 15 by repeated subtraction method...

Answer 2

Answer:

225 - 1 = 224

224 - 3 = 221

221 - 5 = 216

216 - 7 = 209

209 - 9 = 200

200 - 11 = 189

189 - 13 = 176

176 - 15 = 161

161 - 17 = 144

144 - 19 = 125

125 - 21 = 104

104 - 23 = 81

81 - 25 = 56

56 - 27 = 29

29 - 29 = 0

Step-by-step explanation:

From 225 we have subtracted successive odd numbers starting from 1 and obtained 0 at 15th step.

Therefore √225 = 15