Find the conjugates of the following complex numbers:

Given complex number is

Let us convert this to the standard form a+ib

⇒

⇒

We know that i²=-1

⇒

⇒

Multiplying and dividing with 2-i

⇒

⇒

We know that i²=-1

⇒

⇒

⇒

⇒ a+ib=2-4i

We know that the complex conjugate of a complex number a+ib is a-ib

⇒ a-ib=2+4i

∴ the conjugate of is 2+4i.