GreenPrint said:I think i may have just proved
SQRT(27) = -27
Complex numbers are numbers that contain both a real and imaginary component. They are written in the form a + bi, where a is the real part and bi is the imaginary part. The imaginary unit, i, is equal to the square root of -1.
To add or subtract complex numbers, you simply combine the real parts and the imaginary parts separately. For example, (3+2i) + (5+4i) = (3+5) + (2+4)i = 8 + 6i. Similarly, (3+2i) - (5+4i) = (3-5) + (2-4)i = -2 - 2i.
An imaginary number is a complex number with a zero real component. In other words, it can be written in the form bi, where b is a real number and i is the imaginary unit. A complex number, on the other hand, has both a real and imaginary component.
To multiply complex numbers, you use the FOIL method, just like you would for binomials. For example, (3+2i)(5+4i) = 15 + 12i + 10i + 8i^2 = 15 + 22i - 8 = 7 + 22i. To divide complex numbers, you use the conjugate of the denominator to eliminate the imaginary part. For example, (3+2i) / (5+4i) = (3+2i)(5-4i) / (5+4i)(5-4i) = (15-8i) / (25+16) = 15/41 - 8/41i.
Complex numbers are used in many areas of science and engineering, such as electrical engineering, signal processing, and quantum mechanics. They are also used in everyday applications, such as in the design of computer graphics and in the study of chaotic systems. Additionally, complex numbers are used in financial mathematics and in solving certain types of differential equations.