A lot.

Problem is… don’t think of a hurricane as “a thing”. It’s really not, it’s a manifestation of a larger system. It’s the result of something happening, and that thing that is happening is ongoing.

In the case of a tropical storm, it would depend on when you caught it and how big it was. If it’s over warm enough water, then it’s constantly being created. If you flipped some kind of magic switch that Thanos-blinked it out of existence, it would start coming back, because what is making it is still there.

To really get rid of it, permanently, you would need to cool the ocean underneath it off. Nukes can’t do that. I suppose you could try to boil the whole ocean away with nukes, but I have a feeling that would make the storm far worse.