###### Asked in Associates DegreesSchool SubjectsMath and Arithmetic

Associates Degrees

School Subjects

Math and Arithmetic

# How would you find the square root of negative 1?

## Answer

###### Wiki User

###### November 25, 2008 11:49PM

One cannot find the square root of a negative number.

## Related Questions

###### Asked in Math and Arithmetic

### What is square root of negative five squared?

The square root of (-5)2 is 5. (-5 is also a square root, but
"the" square root refers to the positive root in this case.)
The square root of -52 is the square root of -25, or 5i. "i" is
the imaginary unit. Read about "imaginary numbers" or "complex
numbers" for more information.
This would create confusions. Would that mean that the square of
any negative number is negative?

###### Asked in Math and Arithmetic

### 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

###### 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 Numbers , Complex Numbers

### What is an imaginary number?

The square root of a negative real number is an imaginary
number.
We know square root is defined only for positive numbers.
For example,
1) Find the square root of (-1)
It is imaginary. We say that square root of (-1) is i.
In fact they are not real numbers.
2) Find the square root of (-4)
-4 can be written as (-1)(4)
Square root of 4 is 2 and square root of (-1) is i
So, the square root of -4 is 2i.
Similarly, we can find the square root of other negative numbers
also.
Source: www.icoachmath.com
An imaginary number is defined to handle square roots of negative
numbers. The imaginary unit i is defined as the 'positive'
square root of -1.

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