How do I move a database from a non-clustered sql server
to a clustered sql server and be able to use the database.

detach/attach or backup/restore works too on cluster.
Just be sure that you put the db files etc in the shared disk, such as in data directory

The procedure to move a db from a non-clustered SQL Server to a clustered
SQL Server is exactly the same you follow to move a db from a non-clustered
SQL Server to a non-clustered SQL Server. Only thing to remember in a
clustered SQL Server is that you need to put the database on the shared
disk that the clustered SQL Server is using (or dependent on).

HTH,

Uttam Parui
SQL Server Developer Support Engineer, MCDBA, MCSE, MCT
Product Support Services
Microsoft Corporation

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To this poing, the drives that you are using for the
databases must be dependencies on the cluster SQL Server.