As long as you have a and b real, a + ib is the standard representation of a complex number (and, of course, i is the imaginary unit with i2 = -1).Sampad Saha said:I think "a" real and "ib" imaginary part
It's a little confusing at first, but the real part and the so-called imaginary part b, are real numbers.jfizzix said:Given a complex number [itex]a+bi[/itex]
[itex]a[/itex]is the real part
and
[itex]b[/itex] is the imaginary part
A complex number is a number that is expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit (√-1).
To add or subtract complex numbers, simply add or subtract the real parts and the imaginary parts separately. For example, (2 + 3i) + (4 + 2i) = 6 + 5i.
To multiply complex numbers, use the FOIL method (First, Outer, Inner, Last) as you would with binomials. To divide complex numbers, multiply the numerator and denominator by the complex conjugate of the denominator.
The complex conjugate of a complex number a + bi is the number a - bi. It is used in dividing complex numbers and also has properties that aid in simplifying expressions involving complex numbers.
Complex numbers have many applications in fields such as engineering, physics, and economics. They are used to describe and analyze systems with both real and imaginary components, such as electrical circuits and mechanical vibrations.