Evaluate
125\sqrt{314}\approx 2215.005643334
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\sqrt{25+2215^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{25+4906225}
Calculate 2215 to the power of 2 and get 4906225.
\sqrt{4906250}
Add 25 and 4906225 to get 4906250.
125\sqrt{314}
Factor 4906250=125^{2}\times 314. Rewrite the square root of the product \sqrt{125^{2}\times 314} as the product of square roots \sqrt{125^{2}}\sqrt{314}. Take the square root of 125^{2}.
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