<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Square is one of the basic arithmetic operations. Referring to the earlier contributions done by ancient Indian mathematicians in regard of square calculation, various techniques has been suggested by Arybhata, Bhaskara I, Sridhara, Mahavira and Bhaskara II to quote a few. Besides, P. Swami Bharati Krishna Tirthji discussed various techniques for calculating square based on various sutras. In this paper, we have summarized the work done by ancient Indian mathematicians and discussed applications of calculating squares using different sutras. To add on, we have proposed a new method of calculating square based on the drawbacks identified and can be applied for calculation of square of any number. Our method splits the number and hence makes the calculation simpler. Moreover, for bigger values, nested calculations can also tbe applied.</p>
</abstract>

Square is one of the basic arithmetic operations. Referring to the earlier contributions done by ancient Indian mathematicians in regard of square calculation, various techniques has been suggested by Arybhata, Bhaskara I, Sridhara, Mahavira and Bhaskara II to quote a few. Besides, P. Swami Bharati Krishna Tirthji discussed various techniques for calculating square based on various sutras. In this paper, we have summarized the work done by ancient Indian mathematicians and discussed applications of calculating squares using different sutras. To add on, we have proposed a new method of calculating square based on the drawbacks identified and can be applied for calculation of square of any number. Our method splits the number and hence makes the calculation simpler. Moreover, for bigger values, nested calculations can also tbe applied.

Extension of Vedic Mathematics Sutras for calculation of Square

Department of Computer Science and Engineering

Department of Mathematics, Delhi College of Arts and Commerce

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Extension of Vedic Mathematics Sutras for calculation of Square"}

Square is one of the basic arithmetic operations. Referring to the earlier contributions done by ancient Indian mathematicians in regard of square calculation,...

Extension of Vedic Mathematics Sutras for calculation of Square

Article Category: Original Study

Published Online: Jun 03, 2024

Page range: -

Received: Oct 17, 2023

Accepted: Feb 09, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0009

Keywords
Ancient Indian mathematicians, dvandvayoga, ekadhikena purvena, square, vedic mathematics, Vedic Sutras

© 2025 Komal Asrani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Extension of Vedic Mathematics Sutras for calculation of Square

Article Category: Original Study

Published Online: Jun 03, 2024

Page range: -

Received: Oct 17, 2023

Accepted: Feb 09, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0009

KeywordsAncient Indian mathematicians, dvandvayoga, ekadhikena purvena, square, vedic mathematics, Vedic Sutras

© 2025 Komal Asrani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Ancient Indian mathematicians, dvandvayoga, ekadhikena purvena, square, vedic mathematics, Vedic Sutras