Answer:
Two words using the root -gest- are gesture and digestion. The original meaning of the root as inherited from Lating was "carry" or "perform". In modern English, however, the word has a separate meaning of "a tale of adventures" or "a romance in verse" (according to the Merriam-Webster dictionary).
Step-by-step explanation:
Here is a sentence with the word "gesture".
Peter's gift was a very kind gesture.
As for the connection of the word "gesture" with its root: the gift actually "carries" kindness or "performs" an act of kindness.