Rationalize the numerator.

Question

Rationalize the numerator.
((√(x+h)) -x)/x

mathhelper · Answer

((√(x+h)) -x)/x = ((√(x+h)) -x)/x * (√(x+h) + x) / (√(x+h) + x) = ((x+h) - x^2 ) / (x((√(x+h) + x) ) = (x+h - x^2) / (x((√(x+h) + x) )