Math Help - Cardinality of R^2

1. Cardinality of R^2

Show that cardinality of R^2 is cardinal number of continumm

2. Originally Posted by math.dj
Show that cardinality of R^2 is cardinal number of continumm
$|\mathbb{R}\times \mathbb{R}| = |\mathbb{R}|\cdot |\mathbb{R}| = 2^{\aleph_0} \cdot 2^{\aleph_0} = 2^{\aleph_0 + \aleph_0} = 2^{\aleph_0}=|\mathbb{R}|$