Question

The product of two irrational numbers is

(a) always irrational

(b) always rational

(c) always an integer

(d) sometimes rational and sometimes irrational

Answer 1

(d) sometimes rational and sometimes irrational

For example:

$\sqrt{2}$ is an irrational number, when it is multiplied with itself it results into 2, which is a rational number.
$\sqrt{2}$ when multiplied with $\sqrt{3}$ , which is also an irrational number, results into $\sqrt{6}$ , which is an irrational number