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
Edmund Root as the first commanding officer of . In the 1940s, he headed the naval officer procurement program in Chicago, where he oversaw the area's initial WAVES program. Root served as Naval Governor of Guam from May 15, 1931 to June 21, 1933. Root caused controversy between the United States and Japanese governments in 1933 when he expelled 112 Japanese citizens from Guam after their residence permits expired. The Guam Museum opened during his term. The Edmund S. Root Agricultural School in Guam is named in his honor. Edmund Root Edmund Spence Root (December 27, 1881 – February 27, 1961) was