Yes.
For example, any number divided by 0 is unreal. There is no defined representation of (i.e.) 12/0.
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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.
Yes, they are.
Undefined terms are numbers that con't be determined, like 1/0. Not to be confused with irrational numbers, though.
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.
Unreal numbers are complex numbers and numbers of higher order. There are infinitely many of them. It can be shown that the cardinality of complex numbers is the same as that of real numbers: this cardinality is called the continuum, C.There are À0 (aleph-null) counting numbers or integers or rational numbers - the "smallest infinity"!!!. C is equal to 2À0.