Maxima algebraic simplification



Hi all, more questions from a newbie reviewing calculus:

 

If F(x)=sqrt(x), then

F(x+h) =sqrt(x+h) and

(F(x+h) -F(x))/h = (sqrt(x+h) -sqrt(x))/h.

 

To set the numerator to 1 we multiply thru by 

sqrt(x+h) + sqrt(x)/((sqrt(x+h) +sqrt(x))

 

this yields

1/(sqrt(x+h) + sqrt(x)).

 

My question is this. How do I ask Maxima to set the numerator to a specific
value, in this case 1?

 

Ron

 

Ronald F. Modesitt, PE