Meaning any number that cannot be written as a fraction, decimal that does not repeat or terminate.
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There is no specific symbol. The symbol for real numbers is R and that for rational numbers is Q so you could use R \ Q.
They are irrational numbers!
There is no special symbol to indicate an irrational number.
Yes, no irrational numbers are whole numbers.
No. Irrational numbers are real numbers, therefore it is not imaginary.