3.14 is a rational number pi is not. pi is not 3.14
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A rational number is a real number which can be expressed as a division of two integers. A real number which is not rational is called irrational. Since 3.14 = 314/100 and 314 & 100 are integers it is a rational number.
10.01 is a rational number
No number can be rational and irrational at the same time. 3.14 is the ratio of 314:100 and so is rational. HOWEVER, 3.14 is also a common approximation for pi, which is an irrational number. All irrational numbers have infinite, non-recurring decimals and so are often approximated by rationals.
Rational
Such a product is always irrational - unless the rational number happens to be zero.