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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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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 negative square root of 324?
The negative square root of 324 is -18. In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. Since the square root of 324 is 18, the negative square root would be -18.
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.
Square root of a negative number?
such a thing as this does exist but it is called an imaginary number
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.
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.)
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.
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
