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 being multiplied
The product of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers being multiplied.
Let’s consider an example to illustrate this. Let’s take the rational number 2/3 and the irrational number sqrt(2) (the square root of 2).
When we multiply these two numbers, we get:
(2/3) * sqrt(2) = (2 * sqrt(2))/3
In this case, the product is irrational. This is because sqrt(2) is an irrational number and, when multiplied by any non-zero rational number, the result will always be irrational.
However, there are cases where the product of a rational and an irrational number can be rational. For example, if we multiply the rational number 1/2 with the irrational number 0, the product will be 0, which is a rational number.
So, in summary, when multiplying a rational and an irrational number, the product can be either rational or irrational, depending on the specific numbers involved.
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