1 Answer

Abdoelrhman · Answer 1 · 2022-08-24T01:45:50+0000

Answer:

○
$\displaystyle (7 + 4i)/(10)$

Explanation:

$\displaystyle (2 + 3i)/(4 + 2i) → (2 + 3i[4 - 2i])/(4 + 2i[4 - 2i]) = (14 + 8i)/(20) = \boxed{(7)/(10) + (2)/(5)i}$

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

$\displaystyle √(-1) = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four]$

I am joyous to assist you at any time.

Please log in or register to add a comment.