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\frac{2}{3}\times 8\sqrt{5}
Factor 320=8^{2}\times 5. Rewrite the square root of the product \sqrt{8^{2}\times 5} as the product of square roots \sqrt{8^{2}}\sqrt{5}. Take the square root of 8^{2}.
\frac{2\times 8}{3}\sqrt{5}
Express \frac{2}{3}\times 8 as a single fraction.
\frac{16}{3}\sqrt{5}
Multiply 2 and 8 to get 16.