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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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โˆ™ 2017-05-12 12:45:35
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โˆ™ 2017-05-14 09:24:12

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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What is a principal square root?

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


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 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 X - 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 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.


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).


If x is any real number then why is the square root of x2 not equal to x?

say x=-2, the x^2=4, but the square root of 4 is 2 because we always take the positive value, known as the principal root. Using this square root of x^2=|x|. So if x is greater than or equal 0, than square root of x^2 is x, but if x is less than zero we must take its abolute value.


What is the principle square root of 10000?

The principal square root is 100.


Is a nonnegative square root called a principal square root?

Yes.


What is square of 25?

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


Is the square root of x and the square root of NEGATIVE x both rational and irrational?

Yes, because when x equals 1, the square root of x is rational and the square root of -x is irrational, and when x equals -1, the square root of x is irrational and the square root of -x is rational.


Can the square root of x be added to the square root of 3x?

No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.


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 square root of the fifth root of x?

The square root of the fifth root of x is the tenth root of x.


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.


Square root of 4x plus the square root of x?

square root of 4x is 2 times square root of x, so answer is square root of x times 3 since it is 2 square roots of x plus one of them


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 square root radical expression 100?

The principal square root of 100 is 10.


Is 2 a rational square root?

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


What square root simplify 15?

The principal square root of 225 simplifies to 15.


What is the principal root of 49?

The square root of 49 is 7

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