Answer
$-\frac{1}{7}$
Work Step by Step
$-\sqrt \frac{1}{49}=-(\frac{1}{7})=-\frac{1}{7}$
We know that $\sqrt\frac{1}{49}=\frac{1}{7}$, because $(\frac{1}{7})^{2}=\frac{1}{49}$.
In this case, we are finding the opposite of $\sqrt\frac{1}{49}$.