Evaluate
1000\sqrt{5}\approx 2236.0679775
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\sqrt{1000000+2000^{2}}
Calculate 1000 to the power of 2 and get 1000000.
\sqrt{1000000+4000000}
Calculate 2000 to the power of 2 and get 4000000.
\sqrt{5000000}
Add 1000000 and 4000000 to get 5000000.
1000\sqrt{5}
Factor 5000000=1000^{2}\times 5. Rewrite the square root of the product \sqrt{1000^{2}\times 5} as the product of square roots \sqrt{1000^{2}}\sqrt{5}. Take the square root of 1000^{2}.
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