For older buildings in high-risk Radon areas, fitting a Radon Barrier is almost impossible.
This would involve practically destroying the building in order to fit a Barrier, and then remaking the building. In cases like these, Radon Mitigation is called for.
The method to reduce Radon primarily used is a sump and vent pipe system and fan, which pulls radon from beneath the house and vents it to the outside, which is also called sub-slab depressurization, active soil depressurization, or soil suction. Generally indoor radon can be mitigated by sub-slab depressurization and exhausting such radon-laden air to the outdoors, away from windows and other building openings.
The density of the Radon gas ensures that it settles into the sump. From there, the Fan attached to the sump exit pulls the Radon Gas to the outside where it is dispersed into the environment. This does not cause a hazard from excessive Radon Gas outside, as it is quickly spread into the atmosphere. Radon Gas is only of concern in enclosed spaces.
If you are building an extension onto a Building in a high-risk Radon Gas area, the extension could, and should be fitted with a Radon Barrier. The remainder of the building can be treated with Radon Mitigation in the form of Sumps and Fans.