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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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14y ago
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11y 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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Related questions

What is the principal square root of 625?

It is 25


What is the principal root of 5 to the fourth power?

It is +25


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The square of 25 is 25 x 25 = 625. The principal square root of 25 is 5.


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That refers to the positive root, at least if you take the root of a positive number. For example, 25 has two square roots - two numbers which, when squared, give 25. The positive one (+5) is called the principal square root (or 2nd. root).


What is the principal square root of 4 over 25?

It is: 2/5


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A number will have both a positive and negative square root 5 x 5 = 25 and -5 x -5 = 25.


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Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.


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