Evaluate
7\sqrt{2}\approx 9.899494937
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3\sqrt{2}+4\sqrt{2}
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}.
7\sqrt{2}
Combine 3\sqrt{2} and 4\sqrt{2} to get 7\sqrt{2}.
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