Lucia used the straight-line distance between Lincoln, Nebraska, and Houston, Texas, and the straight-line distance between Houston and Tallahassee, Florida, to estimate the straight-line distance between Lincoln and Tallahassee, as shown on the map. Lucia traveled from Lincoln to Tallahassee for vacation. A week after returning home from vacation, Lucia traveled from Lincoln to Houston to visit a relative. About how far did Lucia travel after returning home from Houston? Give your answer as a simplified radical expression.