Question

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

Answer 1

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

Answer 2

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.