Question

But some people are saying product of two irrational numbers is sometimes only irrational....

Answer 1

The product of two irrational numbers is SOMETIMES irrational."

The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.

$\sqrt{5} \times \sqrt{2} = \sqrt{10} \: \: \: \: irrarional$
√8×√2 = √16 rational