Kills food nutrients
This is a myth. In all forms of thermal processing of food it loses some of its nutrients. With longer cooking at high temperature the food loses more nutrients, so some vitamins can evaporate if cooked too long. Therefore microwave has its advantages. If you prepare food in it, means it will be cooked less at lower temperatures, with less water, which in turn means that your meal will have more nutrients than if you prepare it on the stove.
Radiation
It is true that microwave ovens emit radiation, but it isn’t true that these rays are dangerous. Radiation is measured on a spectrum from highest to lowest frequency. It is known that the high forms of radiation can damage DNA and cause many diseases, but the microwave doesn’t emit high radiation and therefore is safe to use. Each microwave passes through certain security tests before they are put up for sale.