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What is the principal square root of x?

Updated: 10/17/2024
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βˆ™ 7y ago

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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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βˆ™ 7y ago
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βˆ™ 7y ago

It is the positive square root of x.

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Q: What is the principal square root of x?
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Related questions

What is a principal square root?

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


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 the difference between principal square root and perfect 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.


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 principal square root of 225?

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


What is square of 25?

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


What is a principal roots?

The principal root is the positive square root.


What is the princpal of a square root?

the principal root is the positive square root.


What do you call the nonnegative square root?

The principal square root.


Is x equals the square root of y-4 a function?

The square root operation is not a function because for each value of y there can be 2 values of x - the principal square root and its negative. This can only be rectified by limiting the range of the opearation to the principal or positive square root. Furthermore, it also depends on the domain of the function. If y<4 then the square root is not defined within Real numbers. So, for y ≥ 4, x = +sqrt(y-4) is a function.


What is the principal square root by simplifying the radical 24?

The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).


Is a nonnegative square root called a principal square root?

Yes.