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We study the relationship between several notions of connectedness arising in${\mathbb A}^1$-homotopy theory of smooth schemes over a field $k$: ${\mathbbA}^1$-connectedness, stable ${\mathbb A}^1$-connectedness and motivicconnectedness, and we discuss the relationship between these notations andrationality properties of algebraic varieties. Motivically connected smoothproper $k$-varieties are precisely those with universally trivial $CH_0$. Weshow that stable ${\mathbb A}^1$-connectedness coincides with motivicconnectedness, under suitable hypotheses on $k$. Then, we observe that thereexist stably ${\mathbb A}^1$-connected smooth proper varieties over the fieldof complex numbers that are not ${\mathbb A}^1$-connected.

Stably A^1-connected varieties and universal triviality of CH_0