1. I know that
x^2=4
x=2 or -2

So..is that ..?
root(4)= 2 or -2

I don't think so ....
for example ....
area = line^2

I don't think there is any line <0

2.

3. that depends on wether you are working with vectors because then there is a negative line, but the lenght of the line is always positive

You recall my vectors .
But i still think the answer of root(4) only 2 .

I think it is about inverse function ....
Let me study it ~

5. http://en.wikipedia.org/wiki/Square_root

This explains how any sqrt(number) has two roots: a principle and non principle. The positive root is the principle root. So essentially, the answer you want is +2, as it is a length. However, mathematically it is incorrect to say that the only answer of sqrt(4) is 2.

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