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What is the absolute value of a complex number?

Updated: 4/28/2022

Wiki User

13y ago

The absolute value of a complex number a+bi is the square root of (a2+b2).

For example, the absolute value of 4+9i is

the square root of (42 + 92)

which is the square root of 97

(The absolute value of a complex number is not complex.)

Wiki User

13y ago

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Q: What is the absolute value of a complex number?
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What is another name for absolute value of a complex number?

The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a&Acirc;&sup2; + b&Acirc;&sup2;) for the complex number a + bi

Can 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.

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.

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.

Is there any way to calculate the absolute value of a complex number that equals a negative number?

Given that absolute values are always positive, and that there is no equivalence between complex numbers and real numbers, I would have to say no, there isn't. The absolute value of a real number is its distance from zero on a number line. Since a distance is always positive, we say the absolute value is always positive. Graphically, a real number is just a point on a number line. The absolute value of a complex number is its distance form the origin in a coordinate plane, where coordinate axes are the x-axis with real numbers, and the y-axis with imaginary numbers. In this diagram, called Argand diagram, a complex number a + bi (where a and b are real numbers) is the point (a, b) or the vector from the origin to the point (a, b). Using the distance formula, the absolute value or the distance of a complex number a + bi is equal to the principal square root of (a2 + b2).

What is the absolute value of -2-5i?

You can get the absolute value of a complex number by using Pythagoras's Theorem, which in this case is: absolute value (i.e., distance from zero) = the square root of (real part squared + imaginary part squared).

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.

What number has the absolute value as -4?

no number; absolute value is always positive. The absolute value of a negative number is positive. For example absolute value of -4 is +4

How do you find the absolute the Absolute Value?

The absolute value of a number is the positive (or non-negative) value of the number. The absolute value of 0 or a positive number is the number itself. The absolute value of a negative number is its positive equivalent.

Distance a number is from zero?

That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.

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.