Evaluate
5000\sqrt{2}\approx 7071.067811865
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\sqrt{25000000+5000^{2}}
Calculate 5000 to the power of 2 and get 25000000.
\sqrt{25000000+25000000}
Calculate 5000 to the power of 2 and get 25000000.
\sqrt{50000000}
Add 25000000 and 25000000 to get 50000000.
5000\sqrt{2}
Factor 50000000=5000^{2}\times 2. Rewrite the square root of the product \sqrt{5000^{2}\times 2} as the product of square roots \sqrt{5000^{2}}\sqrt{2}. Take the square root of 5000^{2}.
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