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Two particles of masses 1 and 2 are moving with velocities 4iandi-√3jon a smooth table. They collide and stick together.

Show that the resultant particle has velocity 2(i-j/√3)

My solution so far:

http://i26.photobucket.com/albums/c109/mathsnerd/e1f01885.jpg" [Broken]

Have I approached the question correctly by using the conservation of momentum equation and is my last line the same as the answer given in the question? I'm not too fond of cancelling square roots...

Thanks for your time!

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# Quick homework check !

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