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Which statement is true about the product of a non-zero rational number and an irrational number?

AThe product of a non-zero rational number and an irrational number is always a rational number.
BThe product of a non-zero rational number and an irrational number is never an irrational number.
CThe product of a non-zero rational number and an irrational number is sometimes a rational number.
DThe product of a non-zero rational number and an irrational number is always an irrational number.

Verified Answer :

Answer:

The product of a non-zero rational number and an irrational number is always an irrational number is correct. If ab=c; where a is rational and b is irrational; then If c were ever rational, b=c/a; it would be the quotient of two rational numbers which would make b rational and contradiction to the rule.

Answer:

D if your doing prep

Step-by-step explanation:

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