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Can an absolute value be zero?
The absolute value of zero is zero. The absolute value of any other real number - or even of any other complex number - is different from zero.
Why cant the adsolute value of a number be negtive?
That is because of the way the absolute value is defined. The absolute value of a positive number is positive, the absolute value of a negative number is also positive. The absolute value of zero is zero. Even in the complex numbers, the absolute value is defined in such a way that it is a real and positive number.
Why can not a complex number lesser or greater than another complex number?
Because a complex number is a two dimensional entity. The concept of less than or greater than, for ordinary numbers, is one-dimensional. It can be applied to the magnitude (absolute value) of a complex number.
What is triangular inequality of complex number?
The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
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.
