Indices, SMB-024 Show working to simplify `a` and `b` such that `a, b` are real numbers and `(8-sqrt27)/(2sqrt3) = a + bsqrt3`. (2 marks) Show Answers Only `:. a =-3/2, \ b = 4/3` Show Worked Solution `(8-sqrt27)/(2sqrt3) xx (sqrt3)/(sqrt3)` `=(sqrt3(8-3sqrt3))/(2xx3)` `= (8sqrt3-9)/6` `= -3/2 + 4/3sqrt3` `:. a = -3/2, \ b = 4/3`