The value of root over 2 √ ) was determined at various phases in the span of 2800 years. It began with “the Vedangas“, a group of literatures as appendages of Vedas. Among six such corpuses of Vedangas, Kalpa (ritual) dealt with religious rituals. tras, within Kalpa, are instructions of ancient Vedic rituals through construction of sacrificial altars. These rituals required various geometrical shapes with strict rules of measurement ulba content serves as the oldest known reference of engineering or constructional manual. In 323 numbers of aphorisms tras), the pioneer among the geometers was yana who lived around 800-600 BCE, who developed various geometrical figures, their combinations, process of values of irrational numbers, value of π, and solutions of linear equation through geometry

Keywords : yana, s, Newton – Raphson, Ramanujan, mathematics, Root over 2 (√ ).