Answer
$-\frac{\sqrt{17}}{10}$.
Work Step by Step
The given expression is
$=-\sqrt{\frac{17}{100}}$
Use quotient property of square roots.
$=-\frac{\sqrt{17}}{\sqrt{100}}$
Use $100=10^2$.
$=-\frac{\sqrt{17}}{\sqrt{10^2}}$
Simplify.
$=-\frac{\sqrt{17}}{10}$.
