What is ((√3 + i)/(√3 - i))³ equal to?

Rationalize: (√3 + i)/(√3 - i) = (√3 + i)²/((√3)² + 1) = (3 + 2√3 i - 1)/4 = (2 + 2√3 i)/4 = (1 + √3 i)/2. This equals cos60° + i sin60° = e^(iπ/3). Cubing: e^(iπ) = -1.