Separate
Different, Another, Separate Thing, Different Thing, Another Thing
の adjective
The の is there to indicate that it is the difference of something. For example this is like saying "the separate ______" or "the different _____" or "another ______". 別 by itself just means separate, different, or another.
The reading is the same as the one you learned. Move on to a 別の漢字, ok?
別の事
another matter
別の物
another thing
別の人
a different person
別のアプローチをトライしてみない?
Why don't we try a different approach?
これとそれは、別のもんだいだと思います。
I think this and that are separate issues.
私は家を二軒所有している。三ヶ月ほど前に購入した場所と、谷底にもう一軒別の家がある。
I own two houses. I bought this place about three months ago and I own another place down in the valley.