Question

Complex numbers are defined as numbers that can be expressed in the form \( a + bi \), where \( a \) represents the real part and \( b \) represents the imaginary part, with \( i \) being the imaginary unit (the square root of -1). Real numbers are a specific case of complex numbers where the imaginary part is zero (e.g., \( a + 0i \)), while purely imaginary numbers have a real part equal to zero (e.g., \( 0 + bi \)). To identify the real part of a complex number, you look at the coefficient of the term without \( i \), while the coefficient of the term with \( i \) represents the imaginary part. For example, in the complex number \( 3 + 4i \), the real part is \( 3 \) and the imaginary part is \( 4 \).