Answer
$- \frac{8}{7}$
Work Step by Step
Recall the following rule: $\sqrt{x^{2}}=x$. Thus, we obtain:
$-\sqrt \frac{64}{49}=-\sqrt \frac{8^{2}}{7^{2}}=- \frac{\sqrt {8^{2}}}{\sqrt {7^{2}}}=- \frac{8}{7}$
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