Question

How do you simplify `(2+3i)+(7+i)` and write the complex number in standard form?

Answer 1

`9+4i`

Explanation:

distribute the brackets and collect like terms.

`rArr(2+3i)+(7+i)=2+3i+7+i`

collecting like terms.

`=(2+7)+(3i+i)=9+4ilarr" in standard form"`

The standard form of a complex number is written.

`z=a+bi` where a is the real part and bi the imaginary part.