Evaluate
14\sqrt{2}\approx 19.798989873
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4\sqrt{2}+\sqrt{200}
Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.
4\sqrt{2}+10\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}.
14\sqrt{2}
Combine 4\sqrt{2} and 10\sqrt{2} to get 14\sqrt{2}.
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