expression, noun which may take the genitive case particle 'no'
another; different; something else
Used to indicate that something is distinct or separate from what was mentioned or expected. Often appears in the pattern 何か別の〜.
何か別の方法を考えましょう。
Let's think of another way.
それは何か別の話だ。
That's a different story.
Compound of 何か (something) and 別 (different, separate). The exact historical derivation is uncertain, but the phrase is conventionally used to mean 'another' or 'something else'.