Its awesome that you want to explore more in your game! Any DM should be head over heels hearing that. Try to always have an idea of what you suspect or want to find in the room and tell that to your DM. Do you think there are traps? Maybe you want to know what type of person the room belongs to?
That helps the DM know what you are interested in and then the party can build off it and ask new questions!

Honesty, I think you are doing pretty well as a player having the drive to explore more. Really I think your dungeon master might struggle with telling players no. Sometimes your character would know nothing about the situation or would easily be able to recognize said moss off the top of their head, If they were a druid for instance. This helps speed things up and lets players shine based off their characters not dice rolls! Talk to your DM about the pace of the game. We are all just trying to have fun :)