What is the primary physical reason a red giant is significantly brighter than it was during its main-sequence life?

Answer

The dramatic increase in the star's radius is the dominant factor in luminosity

Even though the surface temperature decreases, the overwhelming factor dictating the star's overall brightness (luminosity) is the massive increase in its radius, leading to a much higher energy output.

What is the primary physical reason a red giant is significantly brighter than it was during its main-sequence life?

#Videos

What Causes a Red Giant's Surface to Cool? - YouTube

starsstellar evolutionastrophysicsred giantscooling