the product of non zero number and irrational no. is.a.always rational b.always irrational c. rational or irrational But keep in consecration that it is non zero number.
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The product of a non-zero rational number and an irrational number is irrational." Indirect Proof (Proof by Contradiction) of the better statement: (Assume the opposite of what you want to prove, and show it leads to a contradiction of a known fact
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By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
By multiplying a non repeating non terminating number to repeating or terminating/repeating number, the result will always be a non terminating non repeating number.
So, option A is correct.
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