# Thread: Square rooting a negative number

1. ## Square rooting a negative number

Is this right????

2. ## Re: Square rooting a negative number

Originally Posted by asilvester635
Is this right????
You posted this in the Pre-University Algebra Forum.
That makes it difficult to know what level of mathematics you are doing.

In simple algebra, if $y$ is a real number then $y^2\ge 0$.
Thus $\sqrt{-3}$ does not exist.

But if you are doing advanced algebra and know that there is a complex number $i$ such that $i^2=-1$ then if $y^2=-3$ we have $y=\pm\sqrt3~i$.