Shining a blue light on your teeth won't hurt you. On the other hand it won't have any effect on the process either. The process involves dipping you teeth in a mild industrial bleach which is mixed with a few other non-active ingredients. With or without the blue light (which is just a gimmick) your teeth won't get noticeably whiter.
https://youtu.be/Qtl1md-5OIA
//But the light on the gums maybe dangerous i wonder//
In that case, you'd better not open your mouth on sunny days, or let you dentist examine your teeth.
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