# What is the square root of 169/192?

$\frac{13}{24} \sqrt{3}$
$\sqrt{\frac{169}{192}} = \frac{\sqrt{169}}{\sqrt{192}} = \frac{13}{\sqrt{{2}^{6} \cdot 3}} = \frac{13}{8 \sqrt{3}} = \frac{13}{8 \sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{13}{24} \sqrt{3}$