Limits

How the hell do you find the following limit?

lim [sqrt(x^3 + x^2) - sqrt(x^3)] / [sqrt(x)] as x -> infinity

I've tried everything. I've tried extracting the x from the numerator to make it a 0/0 expression to use L'Hôpital, but to no avail. I've tried to turn it into a limit of terms, and thus terms of limits, but no.

Fuckin' hell, I feel stupid.

Multiply the top and bottom by [sqrt(x^3 + x^2) + sqrt(x^3)] bro.

>>2

Shit that's actually pretty obvious.

I'll go cut myself now.

lol conjugates

Can't you just separate them and use l'hopital's rule?

>>5
no