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Does root negative nine exist in math?

Updated: 8/16/2019
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15y ago

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It depends what level of mathematics you are talking about. There is no real number whose square is -9. Once we introduce complex numbers, there are two possibilities, 3i and -3i. Whether you allow complex numbers depends on what you are trying to do. They are unlikely to show up in mathematics before college level, but they are useful in engineering and other areas.

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Q: Does root negative nine exist in math?
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Related questions

How do you do square roots with negatives?

Treat it like a positive and add an i. Explanation: The square root of negative nine is equal to the square root of nine times negative one is equal to the square root of nine times the square root of negative one. The square root of negative one represented by an italic lower case i. The square root of negative nine is 3i. √-9 = √9 * -1 = √9 * √-1 = 3i


What is the square root of a negative nine?

That's the same as the square root of positive nine, multiplied by i. Here, "i" is the so-called imaginary unit; despite its name, which it has for historical reasons, "imaginary" numbers have many applications in math, science, and technology.


Is cube root of negative nine terminates?

No, the cube root of -9 is an irrational number.


When do negative roots exist and when are they undefined?

Negatove roots are simply the reciprocals of the positive roots. So negative roots will exist if the number that you are taking a root of is not 0 and the positive root exists.


What is the square root of negative forty nine?

The square root of negative forty-nine (-49) has no value over real numbers. However, over complex numbers, the square root of -49 is ±7i, where "i" is the imaginary unit, which i2 = -1.


How can there be a square root of a negative number?

Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.


Square root of a negative number?

such a thing as this does exist but it is called an imaginary number


Is the square root of negative 64 a rational number?

The square root of negative 64 isn't even a real number. In math and engineering, it's called an "imaginary number".


How do you square root a negative number?

There are no real answers for a square root of a negative number. Try it on a good scientific calculator (some calculators simply square root the positive, ignoring the negative input), and it should come up with a math error.


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.)


Imaginary numbers examples?

An imaginary number is a number that cannot exist. An example of an imaginary number would be: the square root of negative nine, or any negative number. When I try to think of any two of the same numbers that would multiply together to be negative nine, all I can think of is 3 or -3. when I square both of those numbers, I get the number 9, not -9. When I multiply two negatives together, I get a positive number, therefore there is no possible way to get the square root of -9, or any negative number.


What is an imaginary number and how is it expressed?

An imaginary number is a number that cannot exist. An example of an imaginary number would be: the square root of negative nine, or any negative number. When I try to think of any two of the same numbers that would multiply together to be negative nine, all I can think of is 3 or -3. when I square both of those numbers, I get the number 9, not -9. When I multiply two negatives together, I get a positive number, therefore there is no possible way to get the square root of -9, or any negative number.