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\frac{2\times 2\sqrt{223}}{100}
Factor 892=2^{2}\times 223. Rewrite the square root of the product \sqrt{2^{2}\times 223} as the product of square roots \sqrt{2^{2}}\sqrt{223}. Take the square root of 2^{2}.
\frac{4\sqrt{223}}{100}
Multiply 2 and 2 to get 4.
\frac{1}{25}\sqrt{223}
Divide 4\sqrt{223} by 100 to get \frac{1}{25}\sqrt{223}.