# How do you simplify sqrt3/sqrt7?

$\frac{\sqrt{21}}{7}$
To simplify $\frac{\sqrt{3}}{\sqrt{7}}$, we want to eliminate the radical from the denominator. To do this, multiply the expression by $\frac{\sqrt{7}}{\sqrt{7}}$, which is equivalent to $1$.
$\frac{\sqrt{3}}{\sqrt{7}} \cdot \textcolor{b l u e}{\frac{\sqrt{7}}{\sqrt{7}}} = \frac{\sqrt{21}}{7}$