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\frac{9\sqrt{3}}{\sqrt{3^{3}}}
Factor 243=9^{2}\times 3. Rewrite the square root of the product \sqrt{9^{2}\times 3} as the product of square roots \sqrt{9^{2}}\sqrt{3}. Take the square root of 9^{2}.
\frac{9\sqrt{3}}{\sqrt{27}}
Calculate 3 to the power of 3 and get 27.
\frac{9\sqrt{3}}{3\sqrt{3}}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
3
Cancel out 3\sqrt{3} in both numerator and denominator.
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