Question

sort the words according to the meanings of their shared roots.
manicure
close
closet
closure
manager
manage
hand
shut

Explanation:

For the word "hand":

• "manicure" has the root related to "hand" (Latin "manus" means hand).

For the word "shut":

• "closure", "close", "closet" have meanings related to "shut" (closing an opening, making something shut - like a door (close), an enclosed (shut - off) space (closet), the act of closing (closure)).
• "manage", "manager" are related to the root of "manus" (hand in a sense of handling, dealing with things - manage means to handle, control; manager is a person who handles, controls a business etc.).

Answer:

Under "hand": manicure.
Under "shut": closure, close, closet.