# SOLUTION: Show that the product of a non-zero rational number and an irrational number is an irrational number.

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 Question 32531: Show that the product of a non-zero rational number and an irrational number is an irrational number.Answer by ikdeep(226)   (Show Source): You can put this solution on YOUR website!Let a non-zero rational number = 1/2 let an irrational number = squareroot of 3 so their product would be = (1/2) * squareroot of 3 = (squareroot of 3)/2 and its also an irrational number.. Hope this will help you Please feel free to revert back for any further queries