Using continued subtraction, determine if 175 is a perfect square or not. If not, find the smallest square number that must be subtracted from 175 to get a perfect square. 

Asked by Cl_narayan | 6th Jul, 2019, 11:51: AM

Expert Answer:

175 = 5 × 5 × 7
175 is not a perfect square.
If you subtract 1 from 175 we get 174. Also it is not a square.
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.
Hence, the smallest number is 6 that must be subtracted from 175 to get a perfect square. 

Note:- Please check the question, it should be find smallest number.

Answered by Renu Varma | 9th Jul, 2019, 10:55: AM