# Math Help - Complex Number System

1. ## Complex Number System

So I'm having trouble with imaginary numbers...
here's the problem

Evaluate the following square root expression

√(-8x^9)

the ^ represents superscript so its x to the 9th power

this is my process so far

√(-8x^9)
= i√(8x^9)
= 2i√(2x^9)

2. Originally Posted by jacobdevore
So I'm having trouble with imaginary numbers...
here's the problem. Evaluate the following square root expression
√(-8x^9)
I fully realize that you have posted in the pre-algebra/algebra forum.
That said, I have some real concerns with you question.

Many of us do not like the notation $\sqrt{-8x^9}$ if $x$ is a complex number.

Now if $x$ is a real number, then there are additional problems.

For example: if $x\le 0$ then $\sqrt{-8x^9}$ is a real number.

If $x>0$ then $\sqrt{-8x^9}=2x^4\sqrt{2x}~i$

All "bets" are off if $x$ is a complex number!