Conjugate of a Complex Number

Introduction for Conjugate of a complex numbers:

In mathematics, complex conjugates are the pair of complex numbers, both having the same real part, but with imaginary parts of opposite signs. For example, 3 + 4i and 3 - 4i are complex conjugates.

The conjugate of the complex number z

where a and b are real number, is

Source: wikipedia

Example Problems for Conjugate of a Complex Number:

1. Find the conjugate of the complex number 6+3i

Solution:

Given complex number is 6+3i

=6-3i

Answers for the conjugate of the complex number is 6-3i

2. Find the conjugate of the complex number 8+4i

Solution:

Given complex number 8+4i

=8-4i

Answers for the conjugate of the complex number is 8-4i

3. Find the conjugate of the complex number 9+5i

Solution:

Given complex number 9+5i

=9-5i

Answers for the conjugate of the complex number is 9-5i

4. Find the conjugate of the complex number 10+6i

Solution:

Given complex number 10+6i

=10 – 6i

Answers for the conjugate of the complex number is 10 -6i

5. Find the conjugate of the complex number 11+7i

Solution:

Given complex number 11+7i

=11-7i

Answers for the conjugate of the complex number is 11 -7i

6. Find the conjugate of the complex number 12 +8i

Solution:

Given complex number 12+8i

=12-8i

Answers for the conjugate of the complex number is 12-8i.

More Example Problems Conjugate of a Complex Number:

1. Find the conjugate of the complex number 13+9i

Solution:

Given complex number 13+9i

=13-9i

Answers for the conjugate of the complex number is 13-9i

2. Find the conjugate of the complex number 14+10i

Solution:

Given complex number 14+10i

=14-10i

Answers for the conjugate of the complex number is 14- 10i

3. Find the conjugate of the complex number 15+11i

Solution:

Given complex number 15+11i

=15-11i

Answers for the conjugate of the complex number is 15- 11i

4. Find the conjugate of the complex number 16+12i

Solution:

Given complex number 16+12i

=16-12i

Answers for the conjugate of the complex number is 16- 12i

5. Find the conjugate of the complex number 17+13i

Solution:

Given complex number 17+13i

=17-13i

Answers for the conjugate of the complex number is 17- 13i

6. Find the conjugate of the complex number 18+14i

Solution:

Given complex number 18+14i

=18-14i

Answers for the conjugate of the complex number is 18- 14i