Can someone tell me why if a and b are positive reals, that sqrt((a+1)(b+1)) >= sqrt(ab) + 1. I know that this statement is true and have been told is so because it comes from the Arithmetic Mean-Geometric Mean Inequality: (a+b)/2 >= sqrt(ab). I have been trying and just can't see how statement is derived from the AM GM Inequality. I apologize if the answer is simple and should've been apparent to me. The AM GM idea is new to me.