Angular Velocity of Two Attached Disks with Different Masses

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twjtiger
Another one that I can't figure out.

A solid disk of mass 5.0 kg and a radius of 15.0 cm is rotating with a constant angular velocity of 10.0 rad/sec. Another disk, with the same radius but a mass of 8.0 kg, is slowly dropped upon the first disk until they rotate together. Determine the angular velocity of the system after the two disks are attached.
 
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Conservation of angular momentum!
 
Would I start with

1/2 MR(Sqared)=1/2 MR(Squared)

That would set the two disks equal to each other. Would this be correct?