I'm having some trouble rationalizing and getting the answer from this limit
\(\lim_{x\rightarrow -\infty}\sqrt{5x^2+4x+7}-\sqrt{5x^2+x+3}\)
If rationalizing is the way to go, I've managed to get to (if even that's correct)
\(\lim_{x\rightarrow -\infty}\frac{3x+4}{\sqrt{5x^2+4x+7}+\sqrt{5x^2+x+3}}\)
I've not figured out a way yet to get 1 as the denominator and i'm a bit stuck
any help would be great