Question

Complex number in standard form

Answer 1

Choice C is the answer.

Explanation:

We have given an expression.

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

We have to simplify it and write it as complex number in standard form.

a+bi is a complex number in standard form.

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

Adding like terms, we have

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

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

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

`(2)/(3)+(17)/(2)i` which is the answer.

Answer 2

The answer is (C)
`(2)/(3)+(17)/(2)i`

Explanation:

∵
`(2)/(3)+6i+(5)/(2)i = (2)/(3)+(12)/(2)i+(5)/(2)i=`

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

∴ The answer is
`(2)/(3)+(17)/(2)i` in standard form