Definitions

Branch

1. a part of a tree which grows out from the trunk or from a bough

2. a lateral extension or subdivision extending from the main part of something, typically one extending from a river, road, or railway

3. a conceptual subdivision of something, especially a family, group of languages, or a subject

4. diverge from the main route or part

5. extend or expand one's activities or interests in a new direction

Root

1. the part of a plant which attaches it to the ground or to a support, typically underground, conveying water and nourishment to the rest of the plant via numerous branches and fibers

2. the basic cause, source, or origin of something

3. establish deeply and firmly

4. family, ethnic, or cultural origins, especially as the reasons for one's long-standing emotional attachment to a place or community

5. cause (someone) to stand immobile through fear or amazement