Question

tired

Answer 1

You are not allowed to have i in the denominator.

Answer 2

I guess the person who made the question allowed it.

Answer 3

You must multiply both the numerator and denominator by the same number, so you no longer will have i in the denominator.

Answer 4

It's not simplified yet; that's what simplification is all about.

Answer 5

The number you multiply by is called the complex conjugate of the denominator.
For complex number a + bi, the complex conjugate is a - bi.

Answer 6

\[\frac{ 3 }{ 4i }\]

Multiply and Divide By 'i'

\[\frac{ 3 }{ 4i }*\frac{ i }{ i }\]

\[\frac{ 3i }{ 4i^2 }\]

i^2=i*i=-1

\[-\frac{ 3i }{ 4 }\]

Answer 7

Since the denominator is 4i, that is the same as 0 + 4i. The complex conjugate is 0 - 4i, or simply -4i.