Evaluate
50\sqrt{26}\approx 254.95097568
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\sqrt{62500+50^{2}}
Calculate 250 to the power of 2 and get 62500.
\sqrt{62500+2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{65000}
Add 62500 and 2500 to get 65000.
50\sqrt{26}
Factor 65000=50^{2}\times 26. Rewrite the square root of the product \sqrt{50^{2}\times 26} as the product of square roots \sqrt{50^{2}}\sqrt{26}. Take the square root of 50^{2}.
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