Question

Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.

Answer 1

Clearly, if 49 is subtracted from 1205, the number will be a perfect square.

	34
3	1205 9
64	305 256
	49

 

 

 

 

 

 

∴ 1205 - 49 = 1156 and `sqrt(1156)` = 34