If z is a complex number, show that the sum of z and its conjugate...
If z is a complex number, show that the sum of z and its conjugate is a real number.
Answer & Explanation
Given z is a complex number.
We know that conjugate of a complex number is given by changing sign of imaginary part.
Conjugate of given complex number z will be:
Now, sum of complex number z and its conjugate will be:
Therefore, sum of z and it conjugate is real number.