Question

give an example of two irrationals whose sum is a rational no. but difference is an irrational no.

Answer 1

@
√5 & -√5
sum=>√5+(-√5)
=>√5-√5
=>0, its a rational no.
difference=>√5-(-√5)
=>√5+√5
=>2√5, its a irrational no.
@:-)

Answer 2

Example of two irrationals whose sum is a rational number but difference is an irrational number.

⇒The two irrationals be √2 and -√2

Their sum :-

⇒√2+(-√2)

⇒√2-√2

⇒0 is a rational number

Their difference :-

⇒√2-(-√2)

⇒√2+√2

⇒2√2 is an irrational number

Hope it helps