*We denote complex no. by z and conjugate by z bar*

For finding conjugate of this type of complex no is very easy

Conjugate of 5+4i

Only change the sign of imaginary part of complex no. And it becomes 5 - 4i

For finding conjugate that are in this form

1/a+ib =

From traditional method,it is very time consuming question and not do by mentally.

Little approach to do this

Example - z = 1/5+6i then find z bar

(conjugate)

**METHOD** - Denominator/ a^2 + b^2

5 + 6i / 25 + 36 = 5+6i/61

= 5/61 + 6i+61

It can easily done by mentally. Not pen copy is required.

Example - z = 1/3+4i

3+4i/9+16 = 3+4i/25 = 3/25 + 4i/25