Question

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

Answer 1

ANSWER

The given complex number written in standard form is

$\frac{2}{3} + \frac{17i}{2}$

EXPLANATION

A complex number in standard form is written as

$a + bi$

where
$a$
and
$b$
are real numbers.

The given complex number is,

$( \frac{2}{3} + 6i) + \frac{5}{2}i$

We group like terms to get,

$= \frac{2}{3} + 6i + \frac{5}{2} i$

We collect LCM for the complex parts to get,

$= \frac{2}{3} + \frac{12i + 5i}{2}$

This simplifies to,

$=\frac{2}{3} + \frac{17i}{2}$

Answer 2

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

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