is 3√2i imagery or complex

The expression \( 3\sqrt{2}i \) is a complex number. A complex number is generally expressed in the form \( a + bi \), where \( a \) is the real part and \( b \) is the imaginary part. In this case, \( a = 0 \) and \( b = 3\sqrt{2} \).

The "imaginary" part refers specifically to the term involving \( i \), which represents the imaginary unit (where \( i^2 = -1 \)). So while \( 3\sqrt{2}i \) is indeed imaginary as it contains only the imaginary part, it is also a complex number since all imaginary numbers are a subset of complex numbers.