product of rational number and irrational number is
The product of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers involved
The product of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers involved.
Let’s consider an example.
Let’s say we have the rational number 2 and the irrational number √2.
If we multiply 2 with √2, the product would be 2 * √2.
In this case, the product is √2 * 2 = 2√2.
Since the square root of 2 is an irrational number, and multiplying any non-zero number by an irrational number results in an irrational number, the product of 2 and √2 is an irrational number, specifically 2√2.
It’s important to note that this is just one example, and the product of a rational number and an irrational number can vary depending on the specific numbers involved. In some cases, the product may be rational, while in others, it may be irrational.
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