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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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โˆ™ 2010-06-07 14:02:08
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โˆ™ 2013-10-09 12:16:54

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


What is square of 25?

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


What principal nth root?

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


What is the definition of principal square root?

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


What is a principal square root?

The principal square root is the non-negative square root.


What is a principal roots?

The principal root is the positive square root.


What is the principal square root of x?

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.


What is the sum of the square root of 15 plus square root of 25?

sqrt(15) + sqrt(25) = 5 + sqrt(15) = 8.873 (using principal roots only).


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