the product of a nonzero rational number and a irrational number

Answer 1

.... will also be a irrational number. Rational numbers can be written as fractions; irrational numbers like π cannot. When you times a fraction (rational number) by another fraction, you will get a fraction because the top of the fraction is multiplied together and the bottom is multiplied together : A/B * C/D = (A*C)/(B*D). When you multiply an irrational number to a rational number (a fraction), the result is a irrational number divided by a rational number which is irrational (A/B * π = Aπ/B)

Answer 2

There appears to be more to this question, than stated. The product, with no other information, is an irrational number.