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\sqrt{27}
Rewrite the division of square roots \frac{\sqrt{54}}{\sqrt{2}} as the square root of the division \sqrt{\frac{54}{2}} and perform the division.
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}.