Question

The product of two irrational numbers is an irrational number (True/False).

Answer 1

This statement is false.

Reason:

Let us assume the two irrational numbers be `sqrt2` and `sqrt3`

Sometimes, it is and sometimes it isn't. 

`sqrt2` And `sqrt3` are both irrational as their product is `sqrt6`

Now `sqrt2` and `sqrt8` are both irrational but their product, `sqrt16` is rational (in fact, it equals 4)