Math Foundations/B

Available as a playlsit: https://www.youtube.com/playlist?list=PLIljB45xT85DpiADQOPth56AVC48SrPLc (80-149)

80. Inconvenient truths about sqrt(2)
REeaT2mWj6Y There are three different "square-roots-of-2".
 * Applied
 * Algebraic
 * Analytic (X)

Does not exist
Pythagorean Theorem, quadrance vs length
 * Applied: just work with approximations
 * Algebraic: am extention field to Rationals
 * Analytic: infinite decimal

Approximate Approach

 * 1) An exact solution exists: x^2=4
 * 2) No exact solution exists, but approximate ones do: x^2=3
 * 3) No exact or approximate solution exists: x^2=-3