Yes....I won't say it's safe as rooting means granting access to the system, which is not a child's play...

 

I wouldn't recommend a youtube video as a reliable guide, i would suggest you try this->http://forum.xda-developers.com/showthread.php?t=1552792
It has been tested by hundreds of users and have pretty good reviews.

 

This is only root, chances of a brick in rooting are rare, still if u have doubts you can ask in the thread i gave the link for. They are S5830i users and are your best guides, they have already experiences this. I am a S5830 user, i can only guide you on general android a little bit ace specific things.
As always a soft brick can be easily solved by flashing with Odin but for a hard brick you can try Odin and a usb jig, but mostly the solution is repairs at the service centre.