~でも〜ましょう and ~ましょう?

Question

散歩でもしましょうか? 散歩しましょうか? Do they have the same meaning? I just can't totally get what ~でも〜ましょう means.

Answer 1

散歩でもしましょうか? is an invitation to go for a walk or to do something else.

散歩しましょうか? is merely a question about whether to go on a walk.