Ok so a rational number is a number that can be written as a ratio and an example would be 8.
now a irrational number can be an imperfect root like √2 which converts it into a decimal that is 1.41 so now to find the product of these two is to multiply:
1.41 x 8 = 11.28
thats your product of a rational number and an irrational number hope this helps :)