Question

2-3-12

Simplify: 4
O 1-6iv/3
4
2-3√3
2
1-3i√/3
2
1-6i√/3
2

Answer 1

`\cfrac{2-3√(-12)}{4}\implies \cfrac{2-3√((-1)(4\cdot 3))}{4}\implies \cfrac{2-3√((-1)(2^2\cdot 3))}{4} \\\\\\ \cfrac{2-3√(-1)\cdot √(2^2\cdot 3)}{4}\implies \cfrac{2-3√(-1)\cdot 2√( 3)}{4} \implies\cfrac{2-6√(-1)\cdot √( 3)}{4} \\\\\\ \cfrac{2-6i √( 3)}{4}\implies \cfrac{2(1-3i) √( 3)}{4}\implies \cfrac{1-3i√(3)}{2}`