Question

Give an example to show that division of two irrational numbers is rational

Answer 1

Example.

root 3 is an irrational number

Now, root 3÷root 3

=root 3/root 3

=1, which is a rational number.

But, if we take root 4 which is also an irrational number in place of numerator or denominator, then the result is either root 4/root 3 or root 4/root 3.

Therefore, division of two irrational numbers may or may not be a rational number.