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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 √-11, √-36.

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

To solve a negative square root, then :

√-n2 Ξ √(n2 x -1) Ξ √n2 x √-1 Ξ ni where i = √-1

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

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Q: How do you solve a negative square root?
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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


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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.


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 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?

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

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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.