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No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.

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AnswerBot

2w ago

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