Question

Question 4
The product of any two irrational numbers is

A) Always an irrational number
B) Always a rational number
C) Always an integer
D) Sometimes rational, sometimes irrational

Answer 1

The product of any two irrational numbers can be either a rational number or an irrational number.
E.g:
$\sqrt{2}\times \sqrt{2}=2\left(rational\right)$
$and\sqrt{2}\times \sqrt{3}=\sqrt{6}\left(irrational\right)$

Hence, the correct option is (D)