Abstract
Discoveries of equations for irrational numbers are not new. From Newton’s Method to Taylor Series,there are many ways to calculate the square root of two to arbitrary precision. The following method is similar in this way, but it is also a fascinating derivation from geometry that has applications to other irrationals. Additionally, the equation derived has some properties that may lead to fast computation. The first part of this paper is dedicated to deriving the equation, and the second is focused on computer science implementations and optimizations.
Recommended Citation
Mellace, Isaiah and Kroeker, Joshua
(2024)
"Circling the Square: Computing Radical Two,"
NEXUS: The Liberty Journal of Interdisciplinary Studies: Vol. 1:
Iss.
2, Article 2.
Available at:
https://digitalcommons.liberty.edu/nexus/vol1/iss2/2
