From what I've recently read, Transcendental numbers are those irrational numbers which cannot be formed by sqrt or any root of any order. So If the irrational numbers which are formed by taking roots of different orders on numbers which are not perfect roots of that order, it is called as a surd. So transcendental would have to be those irrational numbers which are not surds. So Transcendental could be classified as a type of irrational number which are not surds. More simply speaking, Transcendentals are irrational numbers that are not Surds. Am I right with this?