There is no specific sign. The set of irrationals can be written as R - Q.
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No, they can be rational or irrational. The sign of a number has nothing to do with it.
Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
No, it is irrational as it has no end
Some are positive and some are negative.
pi is an irrational number that is approximately equal to 3.14