Evaluate
50\sqrt{2}\approx 70.710678119
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\sqrt{2500+50^{2}}
Calculate 50 to the power of 2 and get 2500.
\sqrt{2500+2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{5000}
Add 2500 and 2500 to get 5000.
50\sqrt{2}
Factor 5000=50^{2}\times 2. Rewrite the square root of the product \sqrt{50^{2}\times 2} as the product of square roots \sqrt{50^{2}}\sqrt{2}. Take the square root of 50^{2}.
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