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What is the principal root of -25?

Updated: 10/18/2022
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Wiki User

13y ago

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The principal root of a number is the positive real square root of the number - if it exists.

Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.

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13y ago
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10y ago

That's the positive one; the one shown on a calculator when you calculate the square root of 25.

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Q: What is the principal root of -25?
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