No, it is not.
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The sum of a rational and irrational number must be an irrational number.
rational * irrational = irrational.
No, 3.56 is not an irrational number. 3.56 is rational.
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
Any irrational number, added to 0.4 will give an irrational number.