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Q: What is the Galoisgroup of the field extension of complex numbers over rationals?
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What set of numbers does -23 belong to?

Integers, rationals, reals, complex numbers, etc.


How do we use complex and imaginary numbers?

Among other things, complex numbers play an important role:* In electrical circuits - quantities in AC circuits are described by complex numbers. * In quantum mechanics - the "probability amplitude" is an important concept in quantum mechanics, and it is described by a complex number. * In art - for example, the Mandelbrot set is based on calculations with complex numbers.


Name the sets of numbers to which -28 belong?

-28 belongs to: Integers, which is a subset of rationals, which is a subset of reals, which is a subset of complex numbers.


The number -4 is what set of numbers?

The number -4 belongs to the set of all integers. It also belongs to the rationals, reals, complex numbers.


What is it called the collection of positive negative and zero number together?

The answer will depend on what you mean by number: integers, rationals, reals, complex numbers, etc.


What is William Rowan Hamilton's contribution to complex numbers?

Quaternions, which are an extension of complex numbers into 4 dimensions. See related link.


If a number isn't a integer what is it?

It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.


What property is 42 plus 17 equals 17 plus 42?

The Abelian or commutative property of addition of integers, rationals, reals or complex numbers.


What is the domain of 3x plus 7?

Any domain that you like. It can be the counting numbers, integers, rationals, reals or complex numbers. Or it can be a subset of any of them. For example, the domain could be {-2, 7, 3.56}.


Is fraction the densest subset of real numbers?

No. Fractions do not include irrational numbers. And although there are an infinite number of both rationals and irrationals, there are far more irrational numbers than rationals.


Does every point on the real number line correspond to a rational number?

No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.


What is that numbers of rational?

The number of rationals is Aleph-null.