Answer
$\frac{10}{3}$
Work Step by Step
We know that $\sqrt \frac{100}{9}=\frac{10}{3}$, because $(\frac{10}{3})^{2}=\frac{10}{3}\times\frac{10}{3}=\frac{10\times10}{3\times3}=\frac{100}{9}$.
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