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Q: Every positive number has two square roots the principal square root and its opposite?

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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.

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

the answer is opposite for apex users and its true

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.

Every positive number has TWO square roots. The principal square root is the positive number which, when multiplied by itself, gives the number in question. But its negative equivalent will also be a square root. For example, the number 4 has 2 as the principal sqrt but -2 is also a sqrt of 4

A positive number has two square roots, its principal (positive) root and its negative root. This is because a negative number multiplied by a negative number equals a positive number. In this instance, the square roots of 256 are 16 and -16.

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.

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.

It is the principal square root.

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

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.

Yes, but it is not the case that one is the square root and the other is its opposite. Both are equal square roots with the other one being its opposite.

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

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 principal root is the positive square root.

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

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.

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 second root would be the negative of the principal root.

never a negative

The two square roots of a real number (other than 0) have the same value: one is the additive opposite of the other.So, the principal square root of 16 is 4. Then the other sqrt is -4.The principal sqrt of 2 is approx 1.424 and the other is -1.424.

the principal root is the positive square root.

The square of a positive number is positive. By the way, the square of a negative number is also positive.

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

+4.