Hello !
You are close to the answer. You have the same one, written in a different form, but you need some more work to get to their actual answer :
First, we need to put everything in absolute fraction form (otherwise things get confusing) :
Note that you can multiply everything by :
Then you can factor a out :
Simplifying the surds :
And finally, dividing by :
Does it make sense ?
I believe you might lose some points depending on the context, but it wouldn't be penalized that much unless the question specifically asks for full simplification/factorization. But if you can factorize, do it (here there were two identical surds which sort of looks bad)