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\sqrt{8.1\times 10000}
Calculate 10 to the power of 4 and get 10000.
\sqrt{81000}
Multiply 8.1 and 10000 to get 81000.
90\sqrt{10}
Factor 81000=90^{2}\times 10. Rewrite the square root of the product \sqrt{90^{2}\times 10} as the product of square roots \sqrt{90^{2}}\sqrt{10}. Take the square root of 90^{2}.