Why is the product of a rational number and an irrational number irrational ?

Answer:
Step-by-step explanation:
because the product is always a non-terminating, non-repeating decimal
The product of a rational number and an irrational number is always a non terminating and non repeating decimal.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integer.
A non terminating and non repeating decimal is always an irrational number.
Learn more about irrational number here
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