Question

prove that the product of two complex numbers is again a complex number​

Answer 1

Answer:

Let Z=a+ib and X=c+id

Z*X =(a+ib) (c+id)

=ac+ i ad + i bc + i^2 bd

= ac + i^2 bd + i(ad + bc)

= ac - bd + i (ad+bc),

which is a again a complex no.

Hence multiplication of complex no. satisfy closure ppty

Answer 2

Answer:

see below

Step-by-step explanation:

one complex number =(a+ib)

other complex number = (c+id)

product = (a+ib)(c+id)

= (ac-bd) + i(ad+bc)

= x+ iy

hence proved