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\n \n \n Square Root of Negative Calculator | Real + Imaginary Solutions\n \n \n \n
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Square Root of Negative Number Calculator

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\n Enter a negative number to find its principal square root, expressed as\n a complex number with the imaginary uniti.\n

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Principal Square Root Results

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Imaginary Unit i: sqrt(-1)

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\n Input Number:\n \n

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\n Square Root Formula:\n \n

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\n Principal Root:\n \n

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\n Real Part:\n \n

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\n Imaginary Part:\n \n

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What is the Square Root of a Negative Number?

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\n The square root of a negative number is not a real number. In standard\n real number mathematics, no number multiplied by itself can produce a\n negative result. For instance, 2 × 2 = 4 and (-2) × (-2) = 4. There is\n no real number whose square is negative.\n

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\n To address this limitation, mathematicians introduced the concept of\n imaginary numbers and the imaginary unit, denoted by the symbol\n i. The imaginary unit i is defined as the principal\n square root of -1: i = √(-1).\n

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