When sqrt(112) is simplified, the result is a*sqrt(b), where a is an integer, and b is a positive integer. If b is as small as possible, then what is a + b?
112 = 28 * 4 = 7 * 4 * 4 = 16 * 7
So
sqrt (112) = sqrt (16) * sqrt (7) = 4 sqrt (7)
a + b = 11