This study examines surgery versus radiosurgery (highly focussed radiation) for the treatment of cancer which has spread to one spot in the brain (solitary brain "metastasis"). For these two treatment options, it will compare patients' survival times, quality of life, control rate of the brain metastases and side effects. It uses the most rigorous scientific method available called "randomisation" which minimises biases that exist with other types of studies. It will involve 30 - 40 patients.