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\sqrt{\frac{520\times 4}{8}}
Divide 520 by \frac{8}{4} by multiplying 520 by the reciprocal of \frac{8}{4}.
\sqrt{\frac{2080}{8}}
Multiply 520 and 4 to get 2080.
\sqrt{260}
Divide 2080 by 8 to get 260.
2\sqrt{65}
Factor 260=2^{2}\times 65. Rewrite the square root of the product \sqrt{2^{2}\times 65} as the product of square roots \sqrt{2^{2}}\sqrt{65}. Take the square root of 2^{2}.