AI, Data Science & Cloud Certificates from Google, IBM & Meta — 40% Off
One plan covers every Professional Certificate on Coursera. 40% off your first 3 months — limited time.
Unlock All Certificates
Watch a detailed mathematical video solution that tackles Problem A4 from the 1990 William Lowell Putnam Mathematical Competition, focusing on proving the existence of irrational distances from a set of points. Learn step-by-step how to approach this challenging proof involving geometric concepts and number theory, with clear explanations of the mathematical reasoning and techniques used to demonstrate that for any three non-collinear points in a plane, there must exist a fourth point that has at least one irrational distance to the original three points.
