What does Reuben mean?
Hebrew Re'uven, literally 'behold, a son!' (re'u 'see, behold' + ben 'son'). Genesis 29:32 layers a second biblical wordplay on it: Leah says 'the LORD has looked upon (ra'ah) my affliction' — that play is theological rather than the strict etymology.
What does Boaz mean?
Scholarly readings favor 'in him is strength' or 'in strength,' from be 'in' + oz (root '-z-z, 'to be strong'). An alternative traces it to a root meaning 'swiftness, quickness,' and Martin Noth preferred 'sharp mind.' The name of Ruth's husband and of a pillar of Solomon's Temple. The widespread name-site gloss 'swiftness' is weaker than the 'strength' reading; meaning is debated.