Question: Simplify [tex]\frac{\sqrt{8x^2}}{\sqrt{2x}}[/tex].
First off, you never want square roots on the bottom of a fraction, so let's multiply both sides by [tex]\sqrt{2x}[/tex] to get rid of it. All we have to do from there is simplify!
[tex]\frac{\sqrt{8x^2}}{\sqrt{2x}}*\frac{\sqrt{2x}}{\sqrt{2x}}=\frac{\sqrt{8x^2}*\sqrt{2x}}{2x}}=\frac{\sqrt{16x^3}}{2x}=\frac{4x\sqrt{x}}{2x}=\boxed{2\sqrt{x}}[/tex]
