5 In this question you must show detailed reasoning.
Use an algebraic method to find the square roots of \(- 16 + 30 \mathrm { i }\).
By finding the cube of one of your answers to part (a) determine a cube root of \(\frac { - 99 + 5 i } { 4 }\).
Give your answer in the form \(a + b \mathrm { i }\).