Question

State whether true or false

The pair of irrational numbers gives difference which is irrational are $2+2\sqrt{3}$ and $3-3\sqrt{2}$

Answer 1

To get the difference as irrational, the numbers need to have an irrational part which should be different from each other.
The given pair of numbers are $2+2\sqrt{3}$ and $3-3\sqrt{2}$

On subtracting we get,

$2+2\sqrt{3}-(3-3\sqrt{2})=-1+2\sqrt{3}+3\sqrt{2}$

It is an irrational number.