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\sqrt{6.67\times 1000000000}
Calculate 10 to the power of 9 and get 1000000000.
\sqrt{6670000000}
Multiply 6.67 and 1000000000 to get 6670000000.
1000\sqrt{6670}
Factor 6670000000=1000^{2}\times 6670. Rewrite the square root of the product \sqrt{1000^{2}\times 6670} as the product of square roots \sqrt{1000^{2}}\sqrt{6670}. Take the square root of 1000^{2}.