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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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Q: What is the principal root of -25?

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It is 25

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

It is +25

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).

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

It is: 2/5

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

The principal root is the positive square root.

The principal square root is the non-negative square 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.

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

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

sqrt(25)*2 = 5*2 = 10 (using only the principal sq rt).

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.

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

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the principal root is the positive square root.

The principal (square) root of 10 is an irrational real number which equals approximately 3.16227766.

The square root of 49 is 7

The principal square root.

The principal square root is 100.

Yes.

21

+/- 60

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