Problem

Divide the following complex numbers: \( \frac{2+i}{3-2 i} \) Select one: \( \frac{4+7 i}{13} \) \( \frac{8+7 i}{13} \) \( \frac{4+7 i}{5} \) \( \frac{8+7 i}{5} \)

Solution

Step 1 :\(\frac{2+i}{3-2i} \cdot \frac{3+2i}{3+2i}\)

Step 2 :\(\frac{(2+i)(3+2i)}{(3-2i)(3+2i)}\)

Step 3 :\(\frac{4+7i}{13}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8351/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download