You could just multiply all of the factors in the numerator, and the factors in the denominator, and then do the division.javii said:
javii said:
A complex number is a number that contains both a real part and an imaginary part. It is written in the form a + bi, where a and b are real numbers and i is the imaginary unit (√-1).
The modulus of a complex number is the distance from the origin to the point on the complex plane represented by the number. It is calculated by taking the square root of the sum of the squares of the real and imaginary parts, or |a + bi| = √(a² + b²).
The argument of a complex number is the angle between the positive real axis and the line connecting the origin to the point on the complex plane represented by the number. It is calculated using the inverse tangent function, or arg(a + bi) = tan⁻¹(b/a).
The modulus and argument of a complex number provide important information about its magnitude and direction on the complex plane. They are essential in performing operations on complex numbers, such as addition, subtraction, multiplication, and division.
No, the modulus and argument of a complex number are always positive values. This is because they represent distance and angle, which cannot be negative. However, the real and imaginary parts of a complex number can be negative.
