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The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5

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Q: What are the differences between real numbers and imaginary numbers?
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Related questions

Which of these sets of numbers is not a subset of the real numbers irrational integer rational and imaginary?

Imaginary numbers are not a subset of the real numbers; imaginary means not real.


What is the difference between imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary numbers.


Can a complex number be imaginary?

Yes, imaginary numbers are a subset of complex numbers.


Is the imaginary unit 8i irrational?

No, it is imaginary. Irrational numbers are a subset of real numbers Real numbers and imaginary numbers are sets without any overlap.


Are imaginary numbers irrational numbers?

No. Irrational numbers are real numbers, therefore it is not imaginary.


Are all imaginary numbers are real numbers?

No. None are because the opposite of a real number is an imaginary number. In real numbers there are rational, irrational, counting, whole numbers, and integers.


What is complex math?

Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.


How are irrational numbers real numbers?

They aren't imaginary.


What numbers are not real numbers?

The square root of any negative number is not a real number. denoted as i for imaginary because it does not exist, in the normal concept of numbers.Complex numbers (which include real and imaginary numbers) are combinations of real & imaginary numbers.While these numbers do not exist in the everyday concept of numbers, they are important in concepts of electricity and waves.


How are real numbers imaginary numbers and complex numbers related?

It helps to visualize the numbers on a plane. The complex numbers occupy the entire plane. The real numbers are all the numbers on the horizontal axis, the imaginary numbers are all the numbers on the vertical axis. A complex number thus has a real and an imaginary part, a + bi, where a and be are real numbers (for example, 3 - 2i).


Which number belongs to the set of imaginary numbers 2?

2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.


What is the meaning of Real in math?

Real numbers are numbers that exist from negative infinity to positive infinity and everything in between. real numbers consist of every number you are used to. Imaginary numbers are numbers that aren't used in conventional math (such as i)