Question

The sum of two irrational numbers is always an irrational number.

• A. True
• B. False

Answer 1

The correct option is B False

Lets check with an example:

$(4+\sqrt{5})+(6-\sqrt{5})=10$

Therefore, in this case

$\Rightarrow Irrational+Irrational=Rational$

Hence the given statement is false. It is not always irrational.