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What is the principal square root of a positive number?

Updated: 11/10/2022
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Kagura3689

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13y ago

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A positive number has two square roots, that is, there are two solutions to an equation like x2 = 100. The "principal square root" refers to the positive solution.

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13y ago
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Charles Melon

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1y ago

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Q: What is the principal square root of a positive number?
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Related questions

What is the principal square root of 9?

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


What is the the positive square root of a number indicated by the radical sign?

It is the principal square root.


Every positive number has two square roots what are they?

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.


What is a principal square root?

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


What would be of the square root of a number if there is no sign in front of the square root symbol?

If unspecified, the square root is the principal root, which is the positive 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 a principal roots?

The principal root is the positive square root.


What is the square root of a positive?

The square root of a positive number results in a positive number. For example, the square root of 25 is 5. * * * * * Not true! There are two real square roots for every positive number: one positive and one negative. -5 is as much a square root of 25 as +5 is. However, the positive root is the principal root and so is often presented as the only root.


What is the principal root of -25?

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.


What is the principal square root of 225?

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


What is the princpal of a square root?

the principal root is the positive square root.


Every positive number has two square roots a principle square root and its?

The second root would be the negative of the principal root.