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.
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No because natural numbers are a subset of real numbers
Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.
yesYes, integers are real numbers.
Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.
The rational numbers, since it is a proper subset of the real numbers.