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What is the square root of -4x2?

Updated: 10/27/2022
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13y ago

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In real numbers there is no square root of -4x2

However, when using complex numbers where √-1 = i, then:

√-4x2 = 2xi

If you were asking, for example, with regard to the difference of two squares, eg y2 - 4x2, then you are actually finding the square root of 4x2 which is 2x, giving:

y2 - 4x2 = (y + 2x)(y - 2x)

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Q: What is the square root of -4x2?
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