Question

sort the words according to the meanings of their shared roots.
communicate detach deduct manual
manipulate depart decline collaborate
away; down; off hand together

Explanation:

• For "away; down; off":
• "detach" means to separate or take apart (implies moving away), "deduct" means to take away (a sum of money) from a total, "depart" means to leave (move away from a place), "decline" can mean to go down in number or quality.
• For "hand":
• "manual" relates to using hands (e.g., manual labor - done by hand), "manipulate" means to handle or control (something) with the hands (or in a skillful way as if with hands).
• For "together":
• "communicate" involves sharing information (bringing people together in a sense of sharing), "collaborate" means to work together.

Answer:

• away; down; off: detach, deduct, depart, decline
• hand: manual, manipulate
• together: communicate, collaborate