Latin word refrigero comes from Latin re-, Latin frigero (I cool (refresh with coolness).)

Detailed word origin of refrigero

Dictionary entry	Language	Definition
re-	Latin (lat)	Again; prefix added to various words to indicate an action being done again, or like the other usages indicated above under English.. Back, backwards.
frigero	Latin (lat)	I cool (refresh with coolness).
refrigero	Latin (lat)	I cool (off)). I refresh.

Words with the same origin as refrigero