Entangled or Not 2

Classical Mechanics

$|\Psi\rangle = \frac{1}{\sqrt{5}}|\uparrow\uparrow\rangle +\frac{\sqrt{2}}{\sqrt{5}} |\downarrow\uparrow\rangle - \frac{\sqrt{2}}{\sqrt{5}} |\downarrow\downarrow\rangle$

Is the state $|\Psi\rangle$ above entangled?

Note: The notation $|\uparrow\downarrow\rangle = |\uparrow\rangle \otimes |\downarrow\rangle$ is a common shorthand for tensor products of spin states.