Question

Express the following complex numbers 6+2i divided by 2+4i in the form of a+ib

Answer 1

Multiplying both numerator and denominator by the Complex conjugate of the denominator

Therefore,

(3+4i)

(2−3i)

​

=

3+4i

2−3i

​

×

3−4i

3−4i

​

=

(3)

2

−(4i)

2

(2−3i)(3−4i)

​

=

9+16

(6+12i

2

)−(9+8)i

​

=

25

−6−17i

​

=

25

−6

​

+

25

−17

​

i

Here, A=

25

−6

​

and B=

25

−17

​

Explanation: