jacinta says that the product of a positive and negative rational number is always irrational. explain her error.

Answer with explanation:

She is incorrect with her statement.

We know that a product of two rational numbers is always a rational number no matter they are positive or negative.

Whereas the product of a non-zero rational number and a irrational number is always a irrational number.

The example which contradicts her statement is:

If we consider a positive rational number as: 3

and a negative ration number as: - 2

The there product i. e.

3 * (-2) = - 6 which is again a rational number.

It is incorrect because 20 + (-2) = 18, which is rational.