Question

Division of two irrational numbers is:

• A. always a rational
• B. always an irrational
• C. not an irrational
• D. either rational or irrational

Answer 1

Answer: (D)

either rational or irrational

Division of two irrational numbers may or may not be a rational number.

For example, $\frac{\sqrt{2}}{\sqrt{3}}$ is $\sqrt{\left(\frac{2}{3}\right)}$ which is an irrational number.

However, $\frac{\sqrt{8}}{\sqrt{2}}=\sqrt{4}=2$ which is a rational number.