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2 ½ is called a mixed number (a whole number and a fraction), not complex.
Complex number means there can be real and/or imaginary parts to a number. Without confusing you though, complex numbers include all of the real numbers (which include all fractions and mixed numbers).
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Is 2 and 1 half a complex fraction?
No. It's a plain old mixed number .
How do you find square root of a complex number?
This is best done if the complex number is in polar coordinates - that is, a distance from the origin, and an angle. Take the square root of the argument (the absolute value) of the complex number; and half the angle.
Is 2 a complex number?
No, it is not.
What is the complex number of z 2 - Ii?
The complex number of the equation z = x + iy is x.
What is the usefulness of the conjugate and its effect on other complex numbers?
The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector. The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number. e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i
