Best Answer

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.

🙏

🤨

😮

Study guides

Q: How can there be a square root of a negative number?

Write your answer...

Submit

Related questions

The square root of a negative number is not real.

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.)

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

A negative square root is an imaginary number.

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

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

Imaginary number

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

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

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

-1,0,or 1 the negative square root of four is negative two and the square root of four is two

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

No negative number has a real square root.

you cannot square root a negative number

No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.

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

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.

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.

You cannot obtain the square root of a negative number.

I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.

One cannot find the square root of a negative number.

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

you cant take the square root of a negative number

- (400^.5) = -(20) = -20 you just do the square root of the number, and attach the negative in front. and if you ever include the negative inside the square root, you'd have to deal with i, which is an imaginary number that signifies the square root of negative 1.

I'm not quite sure, but when the number inside the radical (square root sign) is negative, there is a no real-number solution.