Yes. Any time you multiply a rational number by an irrational number, you get an irrational number - unless the rational number is zero.
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Since pi is an irrational number, then 3pi will be an irrational also.
Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.
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.