using continued subtraction determine if 175 is a perfect square or not.If not find the smallest number that must be subtracted from 175 to get a perfect square
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16
175 - 1 = 174
174 - 3 = 171
171 - 5 = 166
166 - 7 = 159
159 - 9 = 150
150 - 11 = 139
139 - 13 = 126
126 - 15 = 111
111 - 17 = 94
94 - 19 = 75
75 - 21 = 54
54 - 23 = 31
31 - 25 = 6
6 - 27 = X
So, 6 is subtracted from 175
175 - 6
169.
169 - 1 is 168
168 - 3 is 165
165 - 5 is 160
160 - 7 is 153
153 - 9 is 144
144 - 11 is 133
133 - 13 is 120
120 - 15 is 105
105 - 17 is 87
87 - 19 is 68
68 - 21 is 47
47 - 23 is 25
25 - 25 is 0.
So means 13 is the root of 169.
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4
Answer:
175 = 5 × 5 × 7.
175 is not a perfect square.
If you subtract 1 from 175 we get 174. ...
If you subtract 2 from 175 we get 173 which is also not a square.
If you continue this.....you will recognise if you subtract 6 then we get 169 which is square if 13
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