Math and Arithmetic

Algebra

# What is the negative square root of 6?

###### Wiki User

###### October 20, 2010 10:14PM

approximately -2.449489743

## Related Questions

###### Asked in Math and Arithmetic

### Can to negative square roots ever be multiplied?

You must be careful when multiplying square roots of negative
numbers; the same rules that apply for normal square roots do NOT
apply. I will use shorthand root(x) for the square root of x. For
example, root(2) x root(3) = root(2 x 3) = root(6), but you can't
do this with square roots of negative numbers. For example:
root(-2) x root(-3) = i root(2) x i root(3) = i2 root(6) = (-1)
root(6) = -root(6).
"i" is the imaginary unit.

###### 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.