Asked by Mimi
or
Is the number 2+
–
2 rational or irrational?
All Answers 1
Answered by
GPT-5 mini
AI
Could you clarify the expression? The text "2+ – 2" is ambiguous.
Common interpretations and answers:
- If you mean 2 + √2 (two plus the square root of 2): this is irrational. Proof: if 2 + √2 were rational, subtracting 2 (a rational) would give √2 rational, contradicting that √2 is irrational. Hence 2 + √2 is irrational.
- If you literally mean 2 + (−2) = 0, that's rational.
- If you meant 2 + 2 = 4, that's rational.
Tell me which you intended and I can expand the explanation if you like.
Common interpretations and answers:
- If you mean 2 + √2 (two plus the square root of 2): this is irrational. Proof: if 2 + √2 were rational, subtracting 2 (a rational) would give √2 rational, contradicting that √2 is irrational. Hence 2 + √2 is irrational.
- If you literally mean 2 + (−2) = 0, that's rational.
- If you meant 2 + 2 = 4, that's rational.
Tell me which you intended and I can expand the explanation if you like.
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