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# How do you solve a negative square root?

Updated: 9/17/2023

Wiki User

14y ago

Mathematics has created an identity, i2 such that i2 = -1.

The set of numbers whose squares are negative real numbers are called imaginary numbers. Members of this set are, for example âˆš-11, âˆš-36.

In general, a member of this set is âˆš-n2 where n is a real number.

To solve a negative square root, then :

âˆš-n2 Îž âˆš(n2 x -1) Îž âˆšn2 x âˆš-1 Îž ni where i = âˆš-1

EXAMPLE : Solve âˆš-16, then âˆš-16 = âˆš(16 x -1) = âˆš16 x âˆš-1 = 4i

Wiki User

14y ago

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### How do you solve x squared equals negative 81?

x2=-81take the square root of both sidessince 81 is negative you need to take 81 times i when i=-1 then solve as the square root of 81. your answer is x=9i

### How do you solve integers and absolute value?

To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.

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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 do you get the square root of negative 144?

square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i

### What are the Order of Operations when simplifying a negative square root if using the quadratic formula to solve a quadratic formula?

The usual rules for "order of operation" apply. Don't forget that the square root of a negative number is an imaginary number. As an example, the square root of -9 is 3i (that is, the square root of +9, times the "imaginary unit").

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No, pi is not used to solve a square root problem.

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### How do you do a square root of a negative number that is not a perfect square?

The square root of a negative number is not real.

### 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 negative 64 square root of an integer?

Negative 64 is the square root of an integer. The square root of -64 is not an integer.