I was just studying the various meanings of 'off' on http://english.oxforddictionaries.com/definition/off and I stuck up at just the second example sentence:
She dashed off to her room.
The meaning of 'off' this sentence is an example of is, "away from the place in question; to or at a distance".
If I omit 'off' from the sentence, it seems okay to me:
She dashed to her room. [She ran in hurry to her room.]
What does 'off' do here?