Evaluate
13\sqrt{2}\approx 18.384776311
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3\times 2\sqrt{2}+7\sqrt{2}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
6\sqrt{2}+7\sqrt{2}
Multiply 3 and 2 to get 6.
13\sqrt{2}
Combine 6\sqrt{2} and 7\sqrt{2} to get 13\sqrt{2}.
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