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
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.
The negative square root of 484 is -22. This is because the square root of 484 is 22, and the negative square root indicates the negative value of that root. Thus, -√484 = -22.
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").
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
No, pi is not used to solve a square root problem.
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
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.
The negative square root of 484 is -22. This is because the square root of 484 is 22, and the negative square root indicates the negative value of that root. Thus, -√484 = -22.
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.
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").
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
No, pi is not used to solve a square root problem.
The square root of a negative number is known as an imaginary number. In this case, the square root of negative 37 would be represented as √(-37) = √37i, where "i" is the imaginary unit equal to the square root of -1. This means that the square root of negative 37 is the square root of 37 multiplied by the imaginary unit "i".
The square root of negative 168 is: ~12.9315 i
The square root of negative 40 is: 6.324555 i
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.)
The square root of a negative number is not real.