Tropicals & Tender Perennials: Cuttings Help, 1 by plexippus

plexippus wrote:
I bought a selinicereus chroscardium and this E. oxypellatum was a hitchhiker in the basket. Long story short neither plant was doing well so I separated and re-potted. The selenicereus is doing quite well now but the E.oxy never really recovered.

It was really going downhill and I checked it last night and the roots were goners. I cut off the healthy parts and I hope to be able to root them. Since I know very little about this type of plant, I have a few questions.

Can I root the cuttings as they are or should they be trimmed further in some way?

On one of the cuttings some of the plant has shriveled and died (circled in yellow), is this cutting a lost cause or can I cut off the dead part and try to root the rest?

What is a good medium to root them in, perlite, potting mix, etc?