#### Answer

Is the sum of a complex number and its complex conjugate a real number? Yes.

#### Work Step by Step

To prove this, add a+bi (a complex number, with a being real and b being imaginary) to its complex conjugate a-bi.
a+bi + (a-bi) = a+bi + a-bi = 2a.
The imaginary numbers cancel each other out, leaving 2a, a real number.