Question

Write (2/3+6i)+(5/2i) as a complex number in standard form

Answer 1

Arrange the expression into the a + bi form of a complex number.

5/2 * i + (2/3+6i)

Answer 2

ANSWER

The given complex number written in standard form is


`(2)/(3) + (17i)/(2)`

Step-by-step explanation

A complex number in standard form is written as


`a + bi`

where

`a`
and

`b`
are real numbers.

The given complex number is,


`( (2)/(3) + 6i) + (5)/(2)i`

We group like terms to get,


`= (2)/(3) + 6i + (5)/(2) i`

We collect LCM for the complex parts to get,


`= (2)/(3) + (12i + 5i)/(2)`

This simplifies to,


`=(2)/(3) + (17i)/(2)`