Evaluate
25\sqrt{2}\approx 35.355339059
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\sqrt{289+31^{2}}
Calculate 17 to the power of 2 and get 289.
\sqrt{289+961}
Calculate 31 to the power of 2 and get 961.
\sqrt{1250}
Add 289 and 961 to get 1250.
25\sqrt{2}
Factor 1250=25^{2}\times 2. Rewrite the square root of the product \sqrt{25^{2}\times 2} as the product of square roots \sqrt{25^{2}}\sqrt{2}. Take the square root of 25^{2}.
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