Cube root can be done with a compass-and-straightedge construction. Newton's method is an iterative method that can be used to calculate the cube root. For real floating-point numbers this method reduces to the following iterative algorithm to produce successively better approximations of the cube root of "a": The method is simply averaging three factors chosen such that at each iteration. Halley's method improves upon this with an algorithm that converges more quickly with each step, albeit consuming more multiplication operations: With either method a poor initial approximation of "x" can give very poor algorithm performance, and coming up with a good initial
The Root Glass Company The Root Glass Company The Root Glass Company originated as Root Glass Works in Vigo County, Indiana. Businessman and Pennsylvania native Chapman J. Root (November 22, 1864 - November 20, 1945) opened the original glass company on May 27, 1901, at Third and Voorhees Streets a year after he moved to the city of Terre Haute, Indiana. By 1904 the company was manufacturing beverage bottles for Coca-Cola as well as several other beverage companies in the area. Between 1905 and 1912 the Root Glass Company workforce increased from 600 to 825 employees. In 1915, Root's company entered a Coca-Cola contest