No it is rational. It can be written as 27/10.
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Yes.
No. The sum of an irrational number and any other [real] number is irrational.
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
No because 5.4 is a rational number that can be expressed as a fraction in the form of 27/5
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.