Question regarding a magenta dendrobium orchid

[RavenII]

My girlfriend and I went on a cruise and on our table they had this beautiful flower (which, after showing to my mom, was identified as an Orchid). I took it from our table since we both agreed it would be cool to grow it and keep it for as long as we can.

My question is....

Since they cut the stem...is there any way to get it to produce a root? or do I have myself a flower that will only last for another 2 weeks (if that)? My mom was saying that there's more than likely no way of getting it to live for too long (which is a bummer)...

Thanks in advance.