For years we have had a small patch of ivy with small very dark green
leaves and light veins - the classic sort of ivy. This has been no
problem.

But this year there has been an explosion of an aggressive ivy with
larger narrow leaves of a lighter green. I must admit we have
neglected it a bit and it has shot up the side of our single story
outhouse and started to climb across the roof.

I've just been out and started to pull it down, but it is well
established and there has been a lot of snapping of stems.

No doubt it will just start growing again.

Is there a way to kill the roots? .... preferably without killing the
darker green ivy that it was intertwined with?