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The number that when multiplied by a rational number, results in an irrational product is a gotten when a non-zero rational number is multiplied by an irrational number, the result is also irrational.

This is further explained below.

What is a rational number?

Generally, One definition of a rational number is any number that can be written as a fraction with a non-zero denominator and an integer numerator. To provide just one example, every integer, including 3/7, is rational.

In conclusion, When an irrational number is multiplied by a non-zero rational number, the product is likewise irrational. This number is referred to as a gotten. When an irrational number is multiplied by a rational number, the product is an irrational number.

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