A student claims that the sum of two irrational numbers is always irrational. Which of the following pair of numbers disproves this claim?
Show answer & explanation
Correct answer: D
Explanation
Both √2 and -√2 are irrational numbers.
Their sum is -
√2 + (-√2) = 0
0 is a rational number.
This example disproves the claim that the sum of two irrational numbers is always irrational.