Which pair of numbers shows that the sum of two irrational numbers is not always irrational?
Answer and explanation
Correct answer: B. and
- Step 1: We need two irrational numbers whose sum is rational.
- Step 2: , and is rational, so one counterexample is enough.
Answer
and .
Why not the others: and : has an irrational sum, so it supports the claim rather than disproving it. and : are both rational, so they are not irrational numbers. and : has a sum of , which is irrational.
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