well, if you put the 2 back into the root1/2, you'll get root2 then you rationalize,
root2 multiplied by root2 is 2
1 multiplied by root2 is root2
root 3 multiplied by root2 is root 6
2 multiplied by 2 is 4
i hope you understand this
Edit**
okey, that was a bad explanation.
uhm, since the first term is a fraction, and you are dividing by radical, you can put the radical over 1, thus making it into a multiplication operation.
then you have to put the 2 back into the root 1/2. that is done by squaring the coefficent (2), then multiplying by the radical. this will give you root2 (2 squared is 4, multiplied by 1/2 is 2).
the only problem you have now is that your second term is not rationalized, but your answer is. to rationalize your answer, simply multiply the denominator and numerator by the denominator. so it would be root 2 times root2 (which is 2) and 1 times root2 (which is root2)
the last step now is to times the fractions. so root3 times root2 is root 6, and 2 times 2 is 4. that is how you get the answer.