What is the best video card for a 21.5 inch monitor that is 75hz with freesync?

well, FreeSync is AMD technology, so you'll likely want to get one of their cards.

ANY of them should be able to output to 75Hz monitor of ANY size. what we need to know is what connection option(s) your monitor has (HDMI, DVI, DP, VGA), what game(s) you are wanting to play, and what your budget is.

some monitors only have one option, and different video cards have different options. from "best" to "worst", the options are:

DisplayPort, HDMI, DVI-D, VGA.

if you have a budget, that is important, as video cards range wildly from $100 to $1,000! now is really not the best time to buy, asprices are nearly doubled this year, as they were bought up by peopke using their Stimulus money. next year should be better...

75Hz still works for gaming, even 60Hz still works. ... It is when your PC can render game frames at more than 75 fps. So for budget gamers, if the fps count is less than 75, then choose a 75Hz monitor and save some money.

with this monitor i would just get a basic £100 card, one that will run most games.

Any useful processes your gpu may be doing wont be usable with this type of monitor.

Honestly, anything more than a 2060 Super would be overkill for 1080p.

no.  you need a video card that is a match for your cpu, not your monitor

yikes it depends on what resolution your talking? here is a list for ya

1080p 75fps bf v ULTRA rx 5600xt

1440p 75fps bf v 5700xt or 2070 super

2160p 75fp bf v 2080ti or rtx 3060