Algebra Of Irrational Numbers

This article describes the Algebra of Irrational numbers. At the begin of this paper we define what an irrational number is, distinguishing it fromnumber system or rather we say from rational numbers. Some commonly known rational and irrational numbers were discussed. In order to define irrational number, we take a short glance of its history. We then seek some knowledge concerning the relation between the two sets, rational and irrational etc. We focus on three main issues:“Why rational into irrational are irrational?A short way to find inverse of irrational numbers, A small glimpse of why addition of irrational numbers might bean irrational?”We also give simple proof regarding the issues.