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It is not possible for a negative number to have a square root. Any square root is the number that, when you multiply it by ITSELF it will equal the number you are square rooting. Example: The square root of 4 is 2. 2 times itself(2x2) is 4. Negative numbers are imposable to square root because the square root cannot be multiplied by its opposite ( i.e. -2 times 2 or 4 times -4), it must be multiplied by itself. Any positive multiplied by a positive is a positive, and any negative multiplied by a negative is a positive. So any number times ITSELF will always be a positive. ( i.e. -4 time -4 is 16 as 4 times 4 is also sixteen.) If a squared square root is always positive then a negative number cannot have a square root. It's imposable.

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True for basic mathematics but not so for more advanced mathematics. There is a whole area of mathematics called complex mathematics which is based on the square root of negative numbers. The square root of -1 is defined as i.

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Q: How do you find the square root of a negative number?
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Related questions

How do you find the negative square root of 5?

A negative square root is an imaginary number.


How would you find the square root of negative 1?

One cannot find the square root of a negative number.


How do you find the square root of a negative number ie sqrt of 0.6?

There is no need to find the square root of a negative number for sqrt(0.6)!


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


How do you find the two square roots in a number?

Use a calculator (if you need) to find the principal square root. The second square root is the negative of the number.


Find the Square Root -81?

There is no square root for a negative number. It is an imaginary number.


How do you find the negative square root of a number?

Find the positive square root and put a minus sign in front of it.


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.)


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.


Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .


Why is it impossible to square a negative number?

you can square a negative number but you can not square root a negative number


How do you find negative square root of 49?

You don't. If the negative sign is outside the radical, then you take the square root of the number and apply the negative. If the negative sign is inside the radical, you will have an imaginary number.


Is the square root of negative 11 a real number?

No. In general, the square root of a negative number is an imaginary number, which is not a real number.


What is a negative square root defined as?

If you're referring to the square root of a negative number, it's an imaginary number.


Is negative the square root of 36 a whole number?

Negative the square root of 36 is -6, which is a whole number.


What is the square root of a negative number written in the form bi where b is a real number and you is the square root of the negative?

Imaginary number


What is te square root of -120 to the nearest integers?

The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary.


What is the negative square root of -144?

The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.


What can you not do with square root?

When dealing with real numbers, you cannot take the square root of a negative number. The concept of the imaginary number was created to handle the square root of a negative number.That's almost like saying "when dealing with numbers bigger than 10, you cannot take the square root of 4. If what you are dealing with does not represent a number, then you cannot find its square root.


What 2 numbers would be the square root of 53?

Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.


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


The square root of a negative value is called an or complex number?

The square root of a negative value is called an imaginary number.


What is the square root of -78?

There is no square root of a negative number. It would have to be a half negative, which is impossible.


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


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.