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\frac{4\sqrt{469}}{64}
Factor 7504=4^{2}\times 469. Rewrite the square root of the product \sqrt{4^{2}\times 469} as the product of square roots \sqrt{4^{2}}\sqrt{469}. Take the square root of 4^{2}.
\frac{1}{16}\sqrt{469}
Divide 4\sqrt{469} by 64 to get \frac{1}{16}\sqrt{469}.