# How do you simplify sqrt(2/7)*sqrt(7/3)?

$\sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}}$
$\sqrt{\textcolor{red}{\frac{2}{7}}} \cdot \sqrt{\textcolor{b l u e}{\frac{7}{3}}} \implies \sqrt{\textcolor{red}{\frac{2}{7}} \cdot \textcolor{b l u e}{\frac{7}{3}}} \implies \sqrt{\textcolor{red}{\frac{2}{\textcolor{b l a c k}{\cancel{\textcolor{red}{7}}}}} \cdot \textcolor{b l u e}{\frac{\textcolor{b l a c k}{\cancel{\textcolor{b l u e}{7}}}}{3}}} \implies \sqrt{\frac{2}{3}}$