Question

Is the product of two irrational numbers always an irrational number ?

Answer 1

“The product of two irrational number is “sometime” irrational”

Its is possible that some irrational number may multiply to from a rational product.

$\sqrt{5}\times \sqrt{2}=\sqrt{10}$; Irrational

$\sqrt{8}\times \sqrt{2}=\sqrt{16}$

$=4$ Rational.

Hence this is the answer.