Answer:
(-1+√3) / 2 which is the last option
Step-by-step explanation:
We will multiply by the conjugate first to get rid of the root in the denominator. Then, we will evaluate the quotient as follows:
[1 / (1+√3)] * [(1-√3) / (1-√3)] = (1-√3) / (1-3)
= (1-√3) / -2
= -(1-√3) / 2
= (-1+√3) / 2
Hope this helps :)