To dream that you are asking someone out on a date reflects your anxieties about really asking this person out. The dream serves as a “rehearsal” to help you with your approach. Dreaming of asking someone out may also be your unconscious giving you an extra nudge to go ahead and ask her or him out.
If you have a dream that you are being asked to do something, then it implies that you are tying to dodge some sort of responsibility in your waking life. The dream is trying to send you a message that things will eventually catch up with you.