Question

Addition or subtraction of two irrational numbers

• A. is always a irrational number
• B. is always a rational number
• C. can be either rational or irrational number

Answer 1

The correct option is C can be either rational or irrational number

Sum of two irrational number can be either rational or irrational number.
Example: $\sqrt{2}+\sqrt{7}$ is an irrational number.
$\sqrt{7}+(-\sqrt{7})=0$ here $0$ is a rational number.

Difference of two irrational number can be either rational or irrational number.
Example: $\sqrt{2}-\sqrt{7}$ is an irrational number.
$\sqrt{7}-\sqrt{7}=0$ here $0$ is a rational number.