I'm treating them together because the visible differences are minute, and these were once combined as the same species. radiata is occasional in S.E. Ohio, more common up north, more often seen in wet woods, and has leaves 2mm wide. rosea is found statewide, in drier sites, and the leaves are 3mm wide. The swollen portion of the perigynium is 4mm in radiata, only 2mm in rosea. Have fun with that.
The real difference between these two is in the stem sheath, which I'm afraid I didn't photograph. Prickly Sedge has leaf sheaths that are cross-puckered, which means it has horizontal wrinkles. Smooth-sheath Sedge does not, hence the common name.
Prickly Quill Sedge is a new species that was lifted from Carex tenera. Greenish-white Sedge is found way up in the N.E. part of the state, and a few counties in southern Ohio. It's considered rare, but probably due to misidentifications.