Evaluate
100\sqrt{5}\approx 223.60679775
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\sqrt{5\times 10000}
Calculate 10 to the power of 4 and get 10000.
\sqrt{50000}
Multiply 5 and 10000 to get 50000.
100\sqrt{5}
Factor 50000=100^{2}\times 5. Rewrite the square root of the product \sqrt{100^{2}\times 5} as the product of square roots \sqrt{100^{2}}\sqrt{5}. Take the square root of 100^{2}.
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