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\frac{3\sqrt{5}}{24}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
\frac{1}{8}\sqrt{5}
Divide 3\sqrt{5} by 24 to get \frac{1}{8}\sqrt{5}.