When multiplying radicals there are certain “rules”, concepts, or rather just facts to keep in mind and to apply. These include FOILing, simplifying, and recognizing you do not need to have common indexes or radicands to be able to complete an expression. FOILing, or just using distribution, means multiplying a coefficient through terms within brackets (as applied below) or even multiplying through two or more sets of brackets. For the multiplication of radicals, although nit strictly necessary, it is recommended that you start by simplifying any and all radicals that are not already in simplistic terms. This is done by finding two factors of the radicand (at least one being a perfect square), then bringing the factor that is a perfect square out of the radical by multiplying it by the radicals coefficient would there be one. Continue simplifying until the value can be expressed in simplest terms.