Question

Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for

Answer 1

`1+ 0i`

Explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

`a +bi`

Where
`a` is the real part,

and
`bi` is the imaginary part.

And
`i = √(-1)`

Given complex number:

`-4i+(1)/(4)-5i)-(-(3)/(4)+8i)+17i\\\Rightarrow -4i+(1)/(4)-5i + (3)/(4)-8i+17i\\\Rightarrow (3)/(4)+(1)/(4)-4i -5i-8i+17i\\\Rightarrow (3+1)/(4)-17i+17i\\\Rightarrow (4)/(4)+0i\\\Rightarrow 1 + 0i`

Hence, the standard form is
`1+ 0i`.