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8\left(405+3\sqrt{3}+1-20\right)
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}.
8\left(406+3\sqrt{3}-20\right)
Add 405 and 1 to get 406.
8\left(386+3\sqrt{3}\right)
Subtract 20 from 406 to get 386.
3088+24\sqrt{3}
Use the distributive property to multiply 8 by 386+3\sqrt{3}.