Question

The product of two irrational numbers is an irrational number

• A. True
• B. False

Answer 1

The correct option is B False

This statement is FALSE$:$ the product of two irrational numbers can be a rational number.

Example$:$

$\sqrt{3}\times \sqrt{3}=3$ a rational number.

In some cases it can be an irrational number

Example:

$\sqrt{3}\times \sqrt{2}=\sqrt{6}$ an irrational number

Hence, the given statement that the product of two irrational numbers is an irrational number is false.