HDMI to HDMI + Audio?

Question

Video

There is a SAMSUNG S24D391HL monitor with HDMI and VGA ports, a monitor without speakers.
I want to connect a Google Chromecast to it, which has only HDMI. But there was a question how to output a sound???
I would like to connect to this whole column through 3.5 mini-jack. In general, a global problem - how to separate video and sound without losing quality? Without considering expensive options with cinemas, receivers, etc., as well as options with incomprehensible Chinese converters ...
In general, gentlemen, offer everything, and then we'll figure it out together)

Answer 1

there is a hole in the monitor for connecting headphones, especially for outputting sound coming via hdmi.
Or do you need to output the sound in digital? then you need a receiver