Do airplanes give off radiation

No. Airplanes, by themselves, emit no more radiation than ore objects. When you fly you are exposed to additional radiation due to your altitude. This radiation is "ionizing" because it changes the structure of the atoms in your body. The radiation you receive flying is because you are higher above the ground and, therefore, have less air between you and space. Space bathes the Earth with radiation all of the time and air can stop some of it, as can any other object radiation passes through, such as your poor body. Air travel does not pose a health risk for anyone, normally. If you are an astronaut or a pregnant flight attendant, you might want to ask a doctor first. Otherwise, you will be quite safe.