Question

Sum of two irrational numbers is always irrational.

• A. a^mn
• B. a^m/n

Answer 1

The correct option is B

a^m/n

Sum of two irrational numbers need not be always irrational.

Example:

Let the two numbers be $2+\sqrt{3}$ and $2-\sqrt{3}$.

These two numbers are irrational numbers.

When we add them, we get

$2+\sqrt{3}+2-\sqrt{3}=4$, which is a rational number.

Thus, the given statement is false.