Question

State the following statement is True or False
The set of irrational numbers are not closure with respect to addition

• A. True
• B. False

Answer 1

The correct option is A True

Irrational numbers are NOT closed under addition and multiplication.
$\sqrt{2}$ and $-\sqrt{2}$ are both irrational numbers but their sum is zero which is a rational number. Their product is -2 which is also a rational number.