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No. To find the square root of any number, you try to find what number, multiplied by itself gives you that number. For instance, I know the square root of 16 is 4, because 4*4 gives me 16.

If I wanted to find the square root of -16, I cannot think of any number, multiplied by itself to give me -16. 4*-4 works. -4*4 works. But since they are NOT the same, I don't get an answer.

Your real answer will be an imaginary number. Therefore, it isn't positive or negative.

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โˆ™ 2011-09-13 10:22:38
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Q: Is the square root of a negative number positive?
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What 2 numbers would be the square root of 53?

Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.


Is the square root of any real number always positive?

The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i


What is the nonenegative square root of a number?

Every number has two square roots ... a positive one and a negative one. Example: +2 and -2 are both square roots of 4, because when you multiply either of them by itself, the answer is 4. The positive square root of a number is the square root that's not negative. The non-negative square root of a number is the positive one.


What is a number that is a square root of a negative number?

I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.


What are the two square roots of 256?

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.


What is the square root of -15?

The square root of a negative number cannot be determined. It must be positive.


Why cant you evaluate the square root of negative twenty five using real numbers?

using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number


What is the nonnegative square root of a number?

Definition of Square Root: The Square Root of a number 'X' is equal to 'A' when X=A*A By definition, the square root of a positive number has two answers, one negative and one positive, that have equal magnitudes. i.e. The square roots of 4 are 2 and -2. The Non-Negative Square Root is simply asking for the positive root.


All positive numbers have two square root a positive and a negative why?

The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.


What is the square root of a negative number plus the square root of a negative number?

Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)


Why is there no solution to the square root of -169?

The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.


How many square roots can a positive number have?

Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.


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.


Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.


Why does the square root of -25 have no real solution?

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.


What number can you square to get the answer -12?

There is no known number that can be squared and produce a negative number since if the number is positive, the result will be positive, and if it's negative the result will still be positive. Accordingly the square roots of negative numbers are normally expressed as a factor of "i" where i is the square root of -1. In that case the square root of -25 is 5i.


How do you find the negative square root of a number?

Find the positive square root and put a minus sign in front of it.


When is the Square root of x greater than x?

when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.


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


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The square root of -100?

It is +/- 10i where i is the imaginary number which equals the square root of -1.


Which is greater the square root of 3 or the square root of 7?

Every positive number has two square roots: one negative and one positive. So negative sqrt(7) < negative sqrt(3) < positive sqrt(3) < positive sqrt(7)


Can there be a negative square root?

Every positive number has a negative square root.For example, 2.25 has the square roots -1.5 (and 1.5)


How is it possible to have a positive or negative answer to the square root of a number?

What do you get when you multiply positive 3 by itself ? (You get 9.) What do you get when you multiply negative 3 by itself ? (You get 9 again.) The square root of a number is something which, when you multiply it by itself, gives you the number. When we multiplied positive 3 by itself, we got 9. So positive 3 is a square root of 9. When we multiplied negative 3 by itself, we got 9 again. So negative 3 is also a square root of 9. Every positive number has two square roots. They're both the same digits, but one is positive and the other one is negative.


The number 49 has two square roots what are they?

The two square roots of any positive number are the positive square root and the negative square root. The positive square root of 49 is 7, because 72=49, while the negative square root is -7, because -72=49.