Evaluate
11\sqrt{2}+10\approx 25.556349186
Factor
11 \sqrt{2} + 10 = 25.556349186
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10\sqrt{2}+\frac{\sqrt{900}}{3}+\sqrt{2}
Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.
10\sqrt{2}+\frac{30}{3}+\sqrt{2}
Calculate the square root of 900 and get 30.
10\sqrt{2}+10+\sqrt{2}
Divide 30 by 3 to get 10.
11\sqrt{2}+10
Combine 10\sqrt{2} and \sqrt{2} to get 11\sqrt{2}.
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