Question

Simplify.

Answer 1

Answer:

$\frac{3+i}{-2i}$ = -0.5 + 1.5i

Step-by-step explanation:

Given 3+i divided by -2i ⇒ $\frac{3+i}{-2i}$

By multiplying the numerator and the denominator by the conjugate of (-2i) which will be equal (2i)

So, $\frac{3+i}{-2i}$ = $\frac{3+i}{-2i} *\frac{2i}{2i} = \frac{i(3+i)}{-2i^2} = \frac{i^2+3i}{-2i^2}$

We should know that: i = √(-1) ⇒ i² = -1

∴ $\frac{i^2+3i}{-2i^2} = \frac{-1+3i}{-2*-1} = \frac{-1+3i}{2} = -0.5 + 1.5i$

∴ $\frac{3+i}{-2i}$ = -0.5 + 1.5i