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You cannot factor negative radical numbers because the square of a number must always be positive. A negative number multiplied by a negative number produces a positive number. So, it is impossible to have a negative radical.

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Q: Why can't you factor negative radical numbers?
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What is the Square root of 231 in radical form?

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using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number


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