building bedroom in finished basement
A floating floor wants to be just that - not anchored down. If you go about placing the bottom plate for a stud wall on top of the flooring material and then try to use concrete nails to anchor the plate to the concrete floor the flooring will be captured and not longer able to float. This will result in constriction of the flooring material when it wants to move due to thermal and environmental changes and will likely warp, buckle and break joints between flooring planks. 

BTW - In most places there will be a requirement for there to be an egress window in this basement bedroom to allow the occupant to exit in the case of fire. Unless you are prepared to provide that you may want to hold off on your remodeling project.