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\frac{89\times 2\sqrt{2}}{6}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
\frac{178\sqrt{2}}{6}
Multiply 89 and 2 to get 178.
\frac{89}{3}\sqrt{2}
Divide 178\sqrt{2} by 6 to get \frac{89}{3}\sqrt{2}.