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证明无理数
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证明无理数

Prompt

如何证明非完全平方数开根号一定是无理数？

OpenAI logoOpenAIo3
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OpenAI logoOpenAIGPT-4.1
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Alibaba logoAlibabaQwen3 235B A22B (Non-reasoning)
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DeepSeek logoDeepSeekDeepSeek V3 0324
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Meta logoMetaLlama 4 Maverick
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DeepSeek logoDeepSeekDeepSeek R1 0528 (May '25)
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Anthropic logoAnthropicClaude 4 Sonnet (Non-reasoning)
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OpenAI logoOpenAIgpt-oss-120B (high)
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xAI logoxAIGrok 3 mini Reasoning (high)
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