The author gives a personal history of experiences in finding the square root of a number by the “do it thus” method—from algorithm to table to calculator. Why each procedure works is elucidated, making liberal use of the history of mathematics.
Goldberg, Dorothy W.
"Ode to the Square Root: A Historical Journey," Humanistic Mathematics Network Journal: Iss.
23, Article 9.
Available at: http://scholarship.claremont.edu/hmnj/vol1/iss23/9