If you are looking for the sum of two consecutive integers, there is a quick way to get the answers. Divide the number by two and you will find your answers.
249/2 = 124.5
Your two consecutive numbers are 124 and 125.
124 + 125 = 249.
If you mean by the square root of 249, your answers are 15 and 16; 15^2 = 225, 16^2 = 256. I hope this helps!