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\sqrt{6.371\times 10000000}
Calculate 10 to the power of 7 and get 10000000.
\sqrt{63710000}
Multiply 6.371 and 10000000 to get 63710000.
100\sqrt{6371}
Factor 63710000=100^{2}\times 6371. Rewrite the square root of the product \sqrt{100^{2}\times 6371} as the product of square roots \sqrt{100^{2}}\sqrt{6371}. Take the square root of 100^{2}.