Our Shower Is Tiled And Grouted. There Is Cracks Appearing Between The Wall Of The Shower And The Floor. Should I Use Caulk To Fix The Problem? If So, Is There A Caulk That Is Textured?

We noticed our floor and wall getting wet near our shower. Our shower has tile and grout. The grout is cracking and separation between the wall and the floor of the shower. We want to fix that to see if this is what is causing the leak before we do some demo. What would be the best way to go about fixing the cracks? Caulk? New grout?