Perfect Cube Roots of Larger Numbers by Using Vedic Mathematics

Abstract

We have witnessed phenomenal technological changes in the recent years leading better and faster applications in life. This phenomenal growth becomes more faster by using Vedic mathematics. Vedic s utras and sub-s utras, used in the computer eld, reduces the processing time of the machines and gives the result in very less time than the time usually a machine takes. Secondly, in the present cut-throat competitive era, where time is the only constraint, we need to train our brain in such a way that it is able to do fast calculations in a fraction of a minute, and that too without pen and pencil. Vedic mathematics is an emerging tool for students appearing in various competitive examinations where speed and accuracy play a vital role. The techniques of Vedic mathematics create a paradigm shift from hard work to smart work. The methods mentioned in it helps to carry out the calculations mentally involving minimal paper use and saves almost one-tenth of the time taken by the traditional methods. One such method to nd three-digit(or less) cube roots of exact cubes which serves as a base to this thesis, has been gracefully explained by Jagadguruji [3]. The present thesis is organized into three chapters which are brie y summarized as follows : In Chapter 1, a brief introduction to Vedic mathematics, Vedic S utras and Jagadguruji is given. Also, the basic concepts of mathematics, multiplication and division are explained by using S utras with enough step-by-step solved examples. In Chapter 2, a technique is given to check whether any given number has a perfect cube root or not. It also presents Jagadguruji's [3] work to nd the three-digit(or less) cube roots of exact cubes and step-by-step approach to solve the examples. We proposed a method to nd n-digit cube roots of exact cubes by generalizing and extending the Jagadguruji's [3] method with the help of the principle of mathematical induction. In Chapter 3, drawback and future scope of the proposed method is included.