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\sqrt{2209-22}
Calculate 47 to the power of 2 and get 2209.
\sqrt{2187}
Subtract 22 from 2209 to get 2187.
27\sqrt{3}
Factor 2187=27^{2}\times 3. Rewrite the square root of the product \sqrt{27^{2}\times 3} as the product of square roots \sqrt{27^{2}}\sqrt{3}. Take the square root of 27^{2}.