Question

the product of a rational number and an irrational number is always irrational number ​

Answer 1

It is true that the product of rational and irrational number is always irrational.

ex.

$\green {\frac{1}{2} \times \sqrt{3} = \frac{ \sqrt{3} }{2} }$

which is irrational number.

Answer 2

It is true that the product of rational and irrational number is always irrational