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\sqrt{1.67\times 1000000000000000-667\times 10^{9}}
Calculate 10 to the power of 15 and get 1000000000000000.
\sqrt{1670000000000000-667\times 10^{9}}
Multiply 1.67 and 1000000000000000 to get 1670000000000000.
\sqrt{1670000000000000-667\times 1000000000}
Calculate 10 to the power of 9 and get 1000000000.
\sqrt{1670000000000000-667000000000}
Multiply 667 and 1000000000 to get 667000000000.
\sqrt{1669333000000000}
Subtract 667000000000 from 1670000000000000 to get 1669333000000000.
10000\sqrt{16693330}
Factor 1669333000000000=10000^{2}\times 16693330. Rewrite the square root of the product \sqrt{10000^{2}\times 16693330} as the product of square roots \sqrt{10000^{2}}\sqrt{16693330}. Take the square root of 10000^{2}.