Yes, unwise is a Scrabble word!
...and is worth 9 points in Scrabble, and 11 points in Words with Friends
unwise
Adjective
1. Showing or resulting from lack of judgment or wisdom
2. Not appropriate to the purpose
What Scrabble words can I make with the letters in unwise?
5 Letter Words
4 Letter Words
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3 Letter Words
2 Letter Words