# How do you simplify square root of 187 divided by square root of 17?

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$
Since $187 = 11 \cdot 17 \to$
$\frac{\sqrt{187}}{\sqrt{17}} = \sqrt{\frac{187}{17}} = \sqrt{\frac{11 \cdot \cancel{17}}{\cancel{17}}} = \sqrt{11}$