Question

There can be a pair of irrational numbers whose sum is rational

Such as: $3-\sqrt{2}$ and $5+\sqrt{2}$

• A. True
• B. False

Answer 1

The correct option is A True

To get the sum as rational, the numbers need to have an irrational part as well which should be same and of the opposite signs such that they cancel each other.
Example,
the pair of numbers $3-\sqrt{2}$ and $5+\sqrt{2}$ have the
sum $3-\sqrt{2}+5+\sqrt{2}=8$
which is a rational number.