Radioactivity refers to the spontaneous emission of particles or radiation from unstable atomic nuclei and was discovered in 1898 by Henri Becquerel. It has important medical uses such as diagnosing and treating cancer, but also carries dangers if exposed to large amounts. The three main types are alpha, beta, and gamma rays which are classified based on their charge. Radioisotopes are unstable isotopes that decay and emit radiation, and can be used beneficially in areas like medicine, industry, and dating geological materials, though overexposure poses health risks.