Final answer:
Roosevelt achieved rural electrification primarily through the federal agency, the Tennessee Valley Authority (TVA), which developed hydroelectric power and provided education on farming techniques to revitalize the region.
Step-by-step explanation:
Roosevelt reached his goal of providing electricity to rural America through the establishment of the Tennessee Valley Authority (TVA), a federal agency tasked with developing the area through initiatives such as flood control, reforestation, and most importantly, hydroelectric power generation. This massive operation, which began in 1933 under the leadership of David Lilienthal, employed thousands of Americans to erect a series of dams along the Tennessee River, eventually bringing electric lighting and machinery to a region previously plagued by over-farmed and eroded land. The TVA revitalized the area not just with power, but also by introducing educational components for local farmers on soil replenishment, crop rotation, and other agricultural techniques, fueling both quality of life improvements and industrial growth. Outside of the TVA, other developments during Roosevelt's presidency did involve public-private partnerships, and there was a broader push to engage state-level agencies, but the TVA remains the most direct and substantial action taken to achieve Roosevelt's goal of rural electrification.