Separate what from how
A Product Requirements Specification answers what the product must do from the perspective of users and stakeholders, without prescribing how it will be built. The System Requirements Specification translates those needs into technical requirements.
When a customer says "it needs to use Bluetooth", that's often an assumption wrapped around the real need: "the user needs to configure the device wirelessly from a smartphone." Keeping those distinct opens the door to better, and often more innovative, solutions.