Well, isn't that a happy little question! 0.21 is a rational number because it can be expressed as a fraction, specifically 21/100. Just like painting a beautiful landscape, math can be a lovely and calming experience once you understand its gentle rhythms.
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10.01 is a rational number
Rational
Such a product is always irrational - unless the rational number happens to be zero.
The sum of a rational and irrational number must be an irrational number.
rational * irrational = irrational.