Explore a fascinating mathematical concept in this 27-minute video lecture on re-nesting cube roots, featuring a theorem by the renowned mathematician Srinivasa Ramanujan. Delve into the proof of an intriguing result concerning the nesting of roots in cubic polynomials, following the outline provided in a published mathematical paper. Gain insights into the practical applications of this theorem and enhance your understanding of advanced algebraic concepts. Learn from Michael Penn, an experienced mathematics educator, as he guides you through the intricacies of Ramanujan's work and its significance in the field of mathematics.