What is the product
or division of a non- zero rational number and an irrational number?
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Answer:
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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Answer:
Product of non-zero rational number and an irrational number is always irrational
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