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This letter: æ, when you write it on paper do you write it seperately? That means: a e

Writing "ae" instead of "æ" is a common substitution when not having an "æ" on the keyboard, but it is only that, a substitution and not correct in standard language.

Here's how I would write an "æ" on paper. Notice that it is slightly different from the way it looks on a computer:
http://www.youtube.com/watch?v=mlYoc0IvbvM
(His "å" is not very good, it needs to be a ring not just a dot)

You can also do a version that looks like the one found on a keyboard, though I never do this:
http://www.youtube.com/watch?v=yd52WnLz3mU