###### Asked in ScienceAlgebra

Science

Algebra

# What is the square root of negative four?

## Answer

###### Wiki User

###### October 01, 2010 11:01AM

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.

## Related Questions

###### Asked in Math and Arithmetic

### 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.)

###### Asked in Math and Arithmetic, Algebra

### 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.

###### Asked in Math and Arithmetic

### How do you do square roots with negatives?

Treat it like a positive and add an i.
Explanation: The square root of negative nine is equal to the
square root of nine times negative one is equal to the square root
of nine times the square root of negative one. The square root of
negative one represented by an italic lower case i. The square root
of negative nine is 3i.
√-9 = √9 * -1 = √9 * √-1 = 3i

###### Asked in Math and Arithmetic

### Is the square root of negative four positive and negative?

no, it is actually not a real number.
It falls under the category of a imaginary number which is the
square root of -1 or as the variable i
Because the square root of -4 is 2i because the square root of 4
is 2 and if you take i out it will maek it a positive
so it goes like this
-4 SR= 2i
-9 square root= 3i
and so on

###### Asked in Science, Math and Arithmetic, Algebra

### 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.