Every natural stone is slightly radioactive, since it contains uranium, thorium, potassium and titanium. Granite, for example, contains more elements of this kind than marble. Granite is a felsic magmatic rock that has a high content of quartz. Quartz, in its turn, contains rare earths that show radioactivity (lanthanum and cerium).
Yes, granite emits radiation but this is all about the dosage.
According to scientists, radioactivity of natural rocks is hygienically safe.
Annually people are exposed to radiation that equals 0.25μSv/h (sievert is the unit representing the health risks of radiation). Radioactivity of granite equals to 0.2μSv/h. This roughly corresponds to the terrestrial radiation. In other words, slabs of natural stone emit so little energy that we can disregard it.
BTW
Tap water contains 10 times more radon than granite. Radiation of a working television set is 109 times greater. Granite countertop emits one millionth of radon that is already present in the room.
In addition, granite varies. It is divided into the classes of radioactivity. Building materials of natural stone that are classified as Class A can be used in the living areas and public places. Class B can be used only outdoors, typically in the road construction within a settlement. Class C includes potentially hazardous natural rocks that can be used exclusively in the road construction far away from the cities and villages. For this purpose they are rarely used, too.
Class A, the relatively safe one, is used for the production of granite slabs, countertops and flooring.
Well, granite like any other natural material shows some level of radioactivity. That's why you should examine the certificate of the suggested stone before choosing it. If you have an opportunity, check the radioactivity on your own with a dosimeter. Permissible value is considered to be 0.5μSv/h. Once you've made sure that the selected piece is fine, you can calmly use it in the interior - it's safe.