Q: What is the definition of principal square root?

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

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.

The principal square root of 9, the positive integer which is the square root of the number, is 3.

The principal (positive) square root of 225 is 15.

The principal root is the positive square root.

the principal root is the positive square root.

The principal square root.

The principal square root is 100.

Yes.

If unspecified, the square root is the principal root, which is the positive root.

The principal square root is a positive number which, when multiplied by itself, gives the original number. The second square root is the negative of the principal square root. So, for example, starting with 144. The principal square root is 12 because 12*12 = 144 and the second square root is -12.

It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.

The square root of 49 is 7

The principal square root of 100 is 10.

The principal square root of 225 simplifies to 15.

It is the principal square root.

Yes, it is the principal square root of 4, and it is rational.

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.

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.

Rounded to two decimal places, the principal square root of 121400 is 348.43.

-13 or +13 are both square root of 169, but we often use the positive square root, 13, as the principal square root.

The opposite of a square root is the square of a number. For example, the principal square root of 81 is 9, while the square of 9 is 81.

9

4

3.7416573867739413855837487323165493017560198077787269463037- :)