Not if they are undefined in the sense of a number divided by zero.
By its very name .. it is UNDEFINED. Even in the Extended Real Number set containing +-infinity these elements are UNDEFINED.
Real Numbers cannot be the square root of a negative number. Real Numbers are not divided by zero. Basically, Real Numbers cannot be anything that is undefined.
Division by zero and square root of negatve number
I am not quite sure what you mean with "log you"; the log is calculated for numbers. The following logarithms are undefined: For real numbers: the logarithm of zero and of negative numbers is undefined. For complex numbers: the logarithm of zero is undefined.
The expression ( X^\pi ) is undefined for negative values of ( X ) when ( \pi ) is not an integer because it involves taking a root of a negative number, which can lead to complex results. For non-integer exponents, the operation requires a real base, and negative bases with non-integer exponents cannot be simplified to real numbers. Specifically, the result would be a complex number, making the expression undefined in the context of real numbers.
It's any real number distinct from 0. For instance, in the expression x/y, where x and y are real numbers, y needs to be a nonzero real number. This is because otherwise the expression x/y is undefined (viz. x/0).
Yes, the square root of negative 121 is undefined in the set of real numbers. However, in the set of complex numbers, the square root of negative 121 is equal to 11i, where i is the imaginary unit.
The set of real numbers is closed under addition, subtraction, multiplication, and division (except that you cannot divide by zero). By closed, this means that if the two numbers in the operation are both real numbers, the result of the operation will always be a real number. Dividing by zero is undefined (for all practical purposes)
No. For example, in real numbers, the square root of negative numbers are not defined.
No, not all. All numbers are Real Numbers. * * * * * All numbers are not real numbers: there are complex numbers and others. Also, all real number are not whole numbers. sqrt(2) or pi, for example are real numbers but not whole numbers.
Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.
Irrational numbers are real numbers.