# How do you simplify and rationalize the denominator (sqrt(21/7)) * (sqrt(21/32))?

$\left(\sqrt{\frac{21}{7}}\right) \cdot \left(\sqrt{\frac{21}{32}}\right)$
$= \sqrt{3} \cdot \frac{\sqrt{3} \cdot \sqrt{7}}{4 \sqrt{2}}$
$= \frac{3 \sqrt{7}}{4 \sqrt{2}}$
$= \frac{3 \sqrt{7}}{4 \sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
$= \frac{3 \sqrt{14}}{8}$