This is a question from a local past paper. I am either having a mental breakdown or there is a problem in the question. As usual I need a sanity check please. I don't necessarily need the answer, but if you can tell me that it is solveable and there is not a mistake, then that is good.
Using surds, find the values of a and b if
Multiply through by the denominator to get:
and rearrange to get b in terms of a:
Now to pretty it up you can multiply through by to get rid of the square root in the denominator. This gives an equation for 'b' as a function of 'a'. You should find for example that if 'a' = 1 then 'b' = 2, and if 'a' = -1 then b = 1-sqrt(3).