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The square root of a number x is one that, when multiplied by itself gives the value x.
So if y * y = x then y is the square root of x.
But, (-y)*(-y) also equals x. So -y is also a square root of x.
Thus, given any positive number, x, there are two numbers, y and -y whose square is x. So both of them are square roots of x. One of y and -y must be greater than 0 and the other must be less than 0. The one that is less than 0 is the negative square root.
As an example,
4 * 4 = 16 and (-4) * (-4) = 16 so both, 4 and -4 are square roots of 16. -4 is the negative square root while 4 is the positive square root (also called the principal square root).
What else can I help you with?
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 is the square root of negative 168?
The square root of negative 168 is: ~12.9315 i
What is the square root of negative 40?
The square root of negative 40 is: 6.324555 i
What is the square root of negative 37?
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".
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.
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.
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.)
What is an example of a rational number between the negative square root of four and the square root of four?
-1,0,or 1 the negative square root of four is negative two and the square root of four is two
How do you find the negative square root of 5?
A negative square root is an imaginary number.
Square root of negative 24 Times Square root of negative 24?
24
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.
Is the square root of negative 5 an integer?
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
